85919625792000 has 11520 divisors, whose sum is σ = 474683858288640. Its totient is φ = 14452162560000.

The previous prime is 85919625791983. The next prime is 85919625792061. The reversal of 85919625792000 is 29752691958.

85919625792000 is a `hidden beast` number, since 8 + 5 + 91 + 96 + 257 + 9 + 200 + 0 = 666.

85919625792000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (11520).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2771600831985 + ... + 2771600832015.

It is an arithmetic number, because the mean of its divisors is an integer number (41205196032).

Almost surely, 2^{85919625792000} is an apocalyptic number.

85919625792000 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 85919625792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237341929144320).

85919625792000 is an abundant number, since it is smaller than the sum of its proper divisors (388764232496640).

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

85919625792000 is a wasteful number, since it uses less digits than its factorization.

85919625792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 85919625792000 in words is "eighty-five trillion, nine hundred nineteen billion, six hundred twenty-five million, seven hundred ninety-two thousand".