85996512000 has 1152 divisors, whose sum is σ = 370392422400. Its totient is φ = 19243008000.

The previous prime is 85996511977. The next prime is 85996512037. The reversal of 85996512000 is 21569958.

85996512000 is a `hidden beast` number, since 8 + 599 + 6 + 51 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×85996512000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356831880 + ... + 356832120.

It is an arithmetic number, because the mean of its divisors is an integer number (321521200).

Almost surely, 2^85996512000 is an apocalyptic number.

85996512000 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 85996512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185196211200).

85996512000 is an abundant number, since it is smaller than the sum of its proper divisors (284395910400).

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

85996512000 is a wasteful number, since it uses less digits than its factorization.

85996512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 85996512000 in words is "eighty-five billion, nine hundred ninety-six million, five hundred twelve thousand".