85196564992 has 240 divisors, whose sum is σ = 217672630560. Its totient is φ = 32939827200.

The previous prime is 85196564977. The next prime is 85196564993. The reversal of 85196564992 is 29946569158.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (85196564993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38358442 + ... + 38360662.

It is an arithmetic number, because the mean of its divisors is an integer number (906969294).

Almost surely, 2^85196564992 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 85196564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108836315280).

85196564992 is an abundant number, since it is smaller than the sum of its proper divisors (132476065568).

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

85196564992 is a wasteful number, since it uses less digits than its factorization.

85196564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2380 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 64.

The spelling of 85196564992 in words is "eighty-five billion, one hundred ninety-six million, five hundred sixty-four thousand, nine hundred ninety-two".