85120519474800 has 840 divisors, whose sum is σ = 317203688419056. Its totient is φ = 21923736514560.

The previous prime is 85120519474751. The next prime is 85120519474871. The reversal of 85120519474800 is 847491502158.

85120519474800 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 0 + 519 + 47 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1478091607 + ... + 1478149193.

Almost surely, 2^{85120519474800} is an apocalyptic number.

85120519474800 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 85120519474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158601844209528).

85120519474800 is an abundant number, since it is smaller than the sum of its proper divisors (232083168944256).

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

85120519474800 is a wasteful number, since it uses less digits than its factorization.

85120519474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57797 (or 57771 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85120519474800 in words is "eighty-five trillion, one hundred twenty billion, five hundred nineteen million, four hundred seventy-four thousand, eight hundred".