85887459504 has 180 divisors, whose sum is σ = 305028233640. Its totient is φ = 22308410880.

The previous prime is 85887459461. The next prime is 85887459509. The reversal of 85887459504 is 40595478858.

85887459504 is a `hidden beast` number, since 8 + 5 + 8 + 8 + 74 + 59 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85887459509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475669 + ... + 630900.

It is an arithmetic number, because the mean of its divisors is an integer number (1694601298).

Almost surely, 2^85887459504 is an apocalyptic number.

85887459504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85887459504 is an abundant number, since it is smaller than the sum of its proper divisors (219140774136).

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

85887459504 is a wasteful number, since it uses less digits than its factorization.

85887459504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106608 (or 1106592 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 85887459504 in words is "eighty-five billion, eight hundred eighty-seven million, four hundred fifty-nine thousand, five hundred four".