85159299456000 has 6336 divisors, whose sum is σ = 421063797353472. Its totient is φ = 16661790720000.

The previous prime is 85159299455981. The next prime is 85159299456043. The reversal of 85159299456000 is 65499295158.

85159299456000 is a `hidden beast` number, since 8 + 5 + 1 + 5 + 92 + 99 + 456 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2301602687982 + ... + 2301602688018.

Almost surely, 2^{85159299456000} is an apocalyptic number.

85159299456000 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 85159299456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210531898676736).

85159299456000 is an abundant number, since it is smaller than the sum of its proper divisors (335904497897472).

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

85159299456000 is a wasteful number, since it uses less digits than its factorization.

85159299456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 85159299456000 in words is "eighty-five trillion, one hundred fifty-nine billion, two hundred ninety-nine million, four hundred fifty-six thousand".