87599432374480 has 160 divisors (see below), whose sum is σ = 220987405900800. Its totient is φ = 32101160785920.

The previous prime is 87599432374451. The next prime is 87599432374513. The reversal of 87599432374480 is 8447323499578.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190526149 + ... + 190985371.

It is an arithmetic number, because the mean of its divisors is an integer number (1381171286880).

Almost surely, 2^{87599432374480} is an apocalyptic number.

87599432374480 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 87599432374480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110493702950400).

87599432374480 is an abundant number, since it is smaller than the sum of its proper divisors (133387973526320).

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

87599432374480 is a wasteful number, since it uses less digits than its factorization.

87599432374480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460629 (or 460623 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 73.

The spelling of 87599432374480 in words is "eighty-seven trillion, five hundred ninety-nine billion, four hundred thirty-two million, three hundred seventy-four thousand, four hundred eighty".