85851477504 has 1200 divisors, whose sum is σ = 319211600400. Its totient is φ = 22741254144.

The previous prime is 85851477479. The next prime is 85851477539. The reversal of 85851477504 is 40577415858.

85851477504 is a `hidden beast` number, since 8 + 5 + 8 + 514 + 77 + 50 + 4 = 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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2960395762 + ... + 2960395790.

It is an arithmetic number, because the mean of its divisors is an integer number (266009667).

Almost surely, 2^85851477504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85851477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159605800200).

85851477504 is an abundant number, since it is smaller than the sum of its proper divisors (233360122896).

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

85851477504 is a wasteful number, since it uses less digits than its factorization.

85851477504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 85851477504 in words is "eighty-five billion, eight hundred fifty-one million, four hundred seventy-seven thousand, five hundred four".