87964820160 has 112 divisors (see below), whose sum is σ = 319186657536. Its totient is φ = 20106243072.

The previous prime is 87964820143. The next prime is 87964820173. The reversal of 87964820160 is 6102846978.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×87964820160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6538282 + ... + 6551721.

Almost surely, 2^87964820160 is an apocalyptic number.

87964820160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87964820160 is an abundant number, since it is smaller than the sum of its proper divisors (231221837376).

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

87964820160 is a wasteful number, since it uses less digits than its factorization.

87964820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090030 (or 13090020 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 87964820160 in words is "eighty-seven billion, nine hundred sixty-four million, eight hundred twenty thousand, one hundred sixty".