85922591616000 has 1056 divisors, whose sum is σ = 337998156088320. Its totient is φ = 21706610688000.

The previous prime is 85922591615951. The next prime is 85922591616061. The reversal of 85922591616000 is 61619522958.

85922591616000 is a `hidden beast` number, since 8 + 5 + 9 + 2 + 25 + 9 + 1 + 6 + 1 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 590903305 + ... + 591048695.

Almost surely, 2^{85922591616000} is an apocalyptic number.

85922591616000 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 85922591616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168999078044160).

85922591616000 is an abundant number, since it is smaller than the sum of its proper divisors (252075564472320).

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

85922591616000 is a wasteful number, since it uses less digits than its factorization.

85922591616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145460 (or 145420 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 85922591616000 in words is "eighty-five trillion, nine hundred twenty-two billion, five hundred ninety-one million, six hundred sixteen thousand".