87976577703840 has 96 divisors (see below), whose sum is σ = 316715679745920. Its totient is φ = 20108932045824.

The previous prime is 87976577703829. The next prime is 87976577703851. The reversal of 87976577703840 is 4830777567978.

It is an interprime number because it is at equal distance from previous prime (87976577703829) and next prime (87976577703851).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13091749275 + ... + 13091755994.

It is an arithmetic number, because the mean of its divisors is an integer number (3299121664020).

Almost surely, 2^{87976577703840} is an apocalyptic number.

87976577703840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87976577703840 is an abundant number, since it is smaller than the sum of its proper divisors (228739102042080).

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

87976577703840 is a wasteful number, since it uses less digits than its factorization.

87976577703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26183505294 (or 26183505286 counting only the distinct ones).

The product of its (nonzero) digits is 3485099520, while the sum is 78.

The spelling of 87976577703840 in words is "eighty-seven trillion, nine hundred seventy-six billion, five hundred seventy-seven million, seven hundred three thousand, eight hundred forty".