87559732592640 has 3456 divisors, whose sum is σ = 406718429644800. Its totient is φ = 16878214840320.

The previous prime is 87559732592639. The next prime is 87559732592653. The reversal of 87559732592640 is 4629523795578.

87559732592640 is a `hidden beast` number, since 8 + 7 + 5 + 597 + 3 + 2 + 5 + 9 + 26 + 4 + 0 = 666.

87559732592640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 629926133691 + ... + 629926133829.

It is an arithmetic number, because the mean of its divisors is an integer number (117684730800).

Almost surely, 2^{87559732592640} is an apocalyptic number.

87559732592640 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 87559732592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203359214822400).

87559732592640 is an abundant number, since it is smaller than the sum of its proper divisors (319158697052160).

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

87559732592640 is a wasteful number, since it uses less digits than its factorization.

87559732592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 87559732592640 in words is "eighty-seven trillion, five hundred fifty-nine billion, seven hundred thirty-two million, five hundred ninety-two thousand, six hundred forty".