85614760000 has 945 divisors, whose sum is σ = 286487862507. Its totient is φ = 25280640000.

The previous prime is 85614759983. The next prime is 85614760009. The reversal of 85614760000 is 6741658.

The square root of 85614760000 is 292600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6712197184 + 78902562816 = 81928^2 + 280896^2 .

It is not an unprimeable number, because it can be changed into a prime (85614760009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4506039991 + ... + 4506040009.

Almost surely, 2^85614760000 is an apocalyptic number.

85614760000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85614760000 is the 292600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85614760000

85614760000 is an abundant number, since it is smaller than the sum of its proper divisors (200873102507).

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

85614760000 is a wasteful number, since it uses less digits than its factorization.

85614760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 85614760000 in words is "eighty-five billion, six hundred fourteen million, seven hundred sixty thousand".