87658160000 has 80 divisors (see below), whose sum is σ = 218219709840. Its totient is φ = 35063232000.

The previous prime is 87658159969. The next prime is 87658160021. The reversal of 87658160000 is 6185678.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 87658160000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 467864 + ... + 627863.

It is an arithmetic number, because the mean of its divisors is an integer number (2727746373).

Almost surely, 2^87658160000 is an apocalyptic number.

87658160000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87658160000 is an abundant number, since it is smaller than the sum of its proper divisors (130561549840).

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

87658160000 is an equidigital number, since it uses as much as digits as its factorization.

87658160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095761 (or 1095734 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 87658160000 in words is "eighty-seven billion, six hundred fifty-eight million, one hundred sixty thousand".