85766121000000 has 2401 divisors, whose sum is σ = 372119874050737. Its totient is φ = 19603684800000.

The previous prime is 85766120999959. The next prime is 85766121000047. The reversal of 85766121000000 is 12166758.

The square root of 85766121000000 is 9261000.

The cubic root of 85766121000000 is 44100.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

85766121000000 is a `hidden beast` number, since 8 + 576 + 61 + 21 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75139355543616 + 10626765456384 = 8668296^2 + 3259872^2 .

It is a tau number, because it is divible by the number of its divisors (2401).

It is a super-2 number, since 2×85766121000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 342 ways as a sum of consecutive naturals, for example, 12252302999997 + ... + 12252303000003.

Almost surely, 2^{85766121000000} is an apocalyptic number.

85766121000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85766121000000 is the 9261000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85766121000000

85766121000000 is an abundant number, since it is smaller than the sum of its proper divisors (286353753050737).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85766121000000 is an frugal number, since it uses more digits than its factorization.

85766121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

85766121000000 divided by its sum of digits (36) gives a square (2382392250000 = 1543500²).

Adding to 85766121000000 its reverse (12166758), we get a palindrome (85766133166758).

The spelling of 85766121000000 in words is "eighty-five trillion, seven hundred sixty-six billion, one hundred twenty-one million", and thus it is an aban number.