87676522560 has 504 divisors, whose sum is σ = 345922274880. Its totient is φ = 20328929280.

The previous prime is 87676522559. The next prime is 87676522627. The reversal of 87676522560 is 6522567678.

87676522560 is a `hidden beast` number, since 8 + 7 + 6 + 76 + 5 + 2 + 2 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87676522497 and 87676522506.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8009571 + ... + 8020509.

It is an arithmetic number, because the mean of its divisors is an integer number (686353720).

Almost surely, 2^87676522560 is an apocalyptic number.

87676522560 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 87676522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172961137440).

87676522560 is an abundant number, since it is smaller than the sum of its proper divisors (258245752320).

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

87676522560 is a wasteful number, since it uses less digits than its factorization.

87676522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 87676522560 in words is "eighty-seven billion, six hundred seventy-six million, five hundred twenty-two thousand, five hundred sixty".