87515076010320 has 240 divisors, whose sum is σ = 335904154365312. Its totient is φ = 20002674263040.

The previous prime is 87515076010301. The next prime is 87515076010361. The reversal of 87515076010320 is 2301067051578.

It is a happy number.

87515076010320 is a `hidden beast` number, since 8 + 7 + 5 + 1 + 5 + 0 + 7 + 601 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 135814014 + ... + 136456866.

Almost surely, 2^{87515076010320} is an apocalyptic number.

87515076010320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87515076010320 is an abundant number, since it is smaller than the sum of its proper divisors (248389078354992).

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

87515076010320 is a wasteful number, since it uses less digits than its factorization.

87515076010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669890 (or 669881 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 87515076010320 in words is "eighty-seven trillion, five hundred fifteen billion, seventy-six million, ten thousand, three hundred twenty".