85766576616 has 192 divisors, whose sum is σ = 278097580800. Its totient is φ = 23347298304.

The previous prime is 85766576587. The next prime is 85766576641. The reversal of 85766576616 is 61667566758.

85766576616 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 6 + 5 + 7 + 6 + 616 = 666.

It is a super-2 number, since 2×85766576616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2964750 + ... + 2993538.

It is an arithmetic number, because the mean of its divisors is an integer number (1448424900).

Almost surely, 2^85766576616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85766576616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139048790400).

85766576616 is an abundant number, since it is smaller than the sum of its proper divisors (192331004184).

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

85766576616 is a wasteful number, since it uses less digits than its factorization.

85766576616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29088 (or 29081 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 85766576616 in words is "eighty-five billion, seven hundred sixty-six million, five hundred seventy-six thousand, six hundred sixteen".