87131832480 has 1152 divisors, whose sum is σ = 397397145600. Its totient is φ = 16837632000.

The previous prime is 87131832433. The next prime is 87131832523. The reversal of 87131832480 is 8423813178.

87131832480 is a `hidden beast` number, since 8 + 7 + 1 + 318 + 324 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124296130 + ... + 124296830.

It is an arithmetic number, because the mean of its divisors is an integer number (344962800).

Almost surely, 2^87131832480 is an apocalyptic number.

87131832480 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 87131832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198698572800).

87131832480 is an abundant number, since it is smaller than the sum of its proper divisors (310265313120).

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

87131832480 is a wasteful number, since it uses less digits than its factorization.

87131832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 87131832480 in words is "eighty-seven billion, one hundred thirty-one million, eight hundred thirty-two thousand, four hundred eighty".