87515105127600 has 120 divisors (see below), whose sum is σ = 280520574565392. Its totient is φ = 23322333593600.

The previous prime is 87515105127589. The next prime is 87515105127623. The reversal of 87515105127600 is 672150151578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87515105127600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21616521 + ... + 25343720.

Almost surely, 2^{87515105127600} is an apocalyptic number.

87515105127600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87515105127600 is an abundant number, since it is smaller than the sum of its proper divisors (193005469437792).

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

87515105127600 is a wasteful number, since it uses less digits than its factorization.

87515105127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46961815 (or 46961804 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 48.

The spelling of 87515105127600 in words is "eighty-seven trillion, five hundred fifteen billion, one hundred five million, one hundred twenty-seven thousand, six hundred".