85506295680000 has 1320 divisors, whose sum is σ = 344569677820368. Its totient is φ = 21047205888000.

The previous prime is 85506295679999. The next prime is 85506295680017. The reversal of 85506295680000 is 8659260558.

85506295680000 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 629 + 5 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×85506295680000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2021738854 + ... + 2021781146.

Almost surely, 2^{85506295680000} is an apocalyptic number.

85506295680000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85506295680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172284838910184).

85506295680000 is an abundant number, since it is smaller than the sum of its proper divisors (259063382140368).

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

85506295680000 is an equidigital number, since it uses as much as digits as its factorization.

85506295680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42361 (or 42316 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 85506295680000 in words is "eighty-five trillion, five hundred six billion, two hundred ninety-five million, six hundred eighty thousand".