87019933968 has 90 divisors (see below), whose sum is σ = 267687234542. Its totient is φ = 26369671680.

The previous prime is 87019933967. The next prime is 87019933981. The reversal of 87019933968 is 86933991078.

It can be written as a sum of positive squares in only one way, i.e., 78384320784 + 8635613184 = 279972^2 + 92928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87019933967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2479705 + ... + 2514552.

Almost surely, 2^87019933968 is an apocalyptic number.

87019933968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87019933968 is an abundant number, since it is smaller than the sum of its proper divisors (180667300574).

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

87019933968 is a wasteful number, since it uses less digits than its factorization.

87019933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994293 (or 4994273 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 87019933968 in words is "eighty-seven billion, nineteen million, nine hundred thirty-three thousand, nine hundred sixty-eight".