87913758240 has 960 divisors, whose sum is σ = 397441997568. Its totient is φ = 17766604800.

The previous prime is 87913758239. The next prime is 87913758377. The reversal of 87913758240 is 4285731978.

It is a happy number.

87913758240 is a `hidden beast` number, since 8 + 7 + 9 + 13 + 7 + 582 + 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 159 ways as a sum of consecutive naturals, for example, 36921850 + ... + 36924230.

Almost surely, 2^87913758240 is an apocalyptic number.

87913758240 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 87913758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198720998784).

87913758240 is an abundant number, since it is smaller than the sum of its proper divisors (309528239328).

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

87913758240 is a wasteful number, since it uses less digits than its factorization.

87913758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87913758240 in words is "eighty-seven billion, nine hundred thirteen million, seven hundred fifty-eight thousand, two hundred forty".