87545931840 has 224 divisors, whose sum is σ = 309632664960. Its totient is φ = 23285864448.

The previous prime is 87545931817. The next prime is 87545931859. The reversal of 87545931840 is 4813954578.

87545931840 is a `hidden beast` number, since 8 + 7 + 5 + 4 + 593 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417319 + ... + 3442841.

Almost surely, 2^87545931840 is an apocalyptic number.

87545931840 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 87545931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154816332480).

87545931840 is an abundant number, since it is smaller than the sum of its proper divisors (222086733120).

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

87545931840 is a wasteful number, since it uses less digits than its factorization.

87545931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25946 (or 25930 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 87545931840 in words is "eighty-seven billion, five hundred forty-five million, nine hundred thirty-one thousand, eight hundred forty".