87200976960 has 336 divisors, whose sum is σ = 311678817840. Its totient is φ = 22350397440.

The previous prime is 87200976959. The next prime is 87200976979. The reversal of 87200976960 is 6967900278.

It can be written as a sum of positive squares in 8 ways, for example, as 383533056 + 86817443904 = 19584^2 + 294648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87200976897 and 87200976906.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19457920 + ... + 19462400.

Almost surely, 2^87200976960 is an apocalyptic number.

87200976960 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 87200976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155839408920).

87200976960 is an abundant number, since it is smaller than the sum of its proper divisors (224477840880).

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

87200976960 is a wasteful number, since it uses less digits than its factorization.

87200976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 87200976960 in words is "eighty-seven billion, two hundred million, nine hundred seventy-six thousand, nine hundred sixty".