87954832224 has 432 divisors, whose sum is σ = 307853844480. Its totient is φ = 23684451840.

The previous prime is 87954832219. The next prime is 87954832249. The reversal of 87954832224 is 42223845978.

87954832224 is a `hidden beast` number, since 8 + 79 + 548 + 3 + 2 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59791809 + ... + 59793279.

It is an arithmetic number, because the mean of its divisors is an integer number (712624640).

Almost surely, 2^87954832224 is an apocalyptic number.

87954832224 is a gapful number since it is divisible by the number (84) 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 87954832224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153926922240).

87954832224 is an abundant number, since it is smaller than the sum of its proper divisors (219899012256).

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

87954832224 is a wasteful number, since it uses less digits than its factorization.

87954832224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1725 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 87954832224 in words is "eighty-seven billion, nine hundred fifty-four million, eight hundred thirty-two thousand, two hundred twenty-four".