87932759040 has 1056 divisors, whose sum is σ = 365877832320. Its totient is φ = 19110297600.

The previous prime is 87932758997. The next prime is 87932759087. The reversal of 87932759040 is 4095723978.

87932759040 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 2 + 7 + 590 + 40 = 666.

It is a super-2 number, since 2×87932759040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 806722506 + ... + 806722614.

It is an arithmetic number, because the mean of its divisors is an integer number (346475220).

Almost surely, 2^87932759040 is an apocalyptic number.

87932759040 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 87932759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182938916160).

87932759040 is an abundant number, since it is smaller than the sum of its proper divisors (277945073280).

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

87932759040 is a wasteful number, since it uses less digits than its factorization.

87932759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 87932759040 in words is "eighty-seven billion, nine hundred thirty-two million, seven hundred fifty-nine thousand, forty".