87575142960 has 120 divisors (see below), whose sum is σ = 296855442000. Its totient is φ = 23135095296.

The previous prime is 87575142959. The next prime is 87575142971. The reversal of 87575142960 is 6924157578.

87575142960 is a `hidden beast` number, since 8 + 7 + 575 + 1 + 4 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 87575142897 and 87575142906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491335 + ... + 645414.

It is an arithmetic number, because the mean of its divisors is an integer number (2473795350).

Almost surely, 2^87575142960 is an apocalyptic number.

87575142960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87575142960 is an abundant number, since it is smaller than the sum of its proper divisors (209280299040).

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

87575142960 is a wasteful number, since it uses less digits than its factorization.

87575142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136875 (or 1136866 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 87575142960 in words is "eighty-seven billion, five hundred seventy-five million, one hundred forty-two thousand, nine hundred sixty".