87682512960 has 1680 divisors, whose sum is σ = 399587240448. Its totient is φ = 18114969600.

The previous prime is 87682512959. The next prime is 87682512989. The reversal of 87682512960 is 6921528678.

87682512960 is a `hidden beast` number, since 8 + 7 + 68 + 2 + 512 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87682512897 and 87682512906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 669332095 + ... + 669332225.

Almost surely, 2^87682512960 is an apocalyptic number.

87682512960 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 87682512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199793620224).

87682512960 is an abundant number, since it is smaller than the sum of its proper divisors (311904727488).

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

87682512960 is a wasteful number, since it uses less digits than its factorization.

87682512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 87682512960 in words is "eighty-seven billion, six hundred eighty-two million, five hundred twelve thousand, nine hundred sixty".