87186603920 has 320 divisors, whose sum is σ = 239911144704. Its totient is φ = 29169745920.

The previous prime is 87186603901. The next prime is 87186603941. The reversal of 87186603920 is 2930668178.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55496735 + ... + 55498305.

Almost surely, 2^87186603920 is an apocalyptic number.

87186603920 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 87186603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119955572352).

87186603920 is an abundant number, since it is smaller than the sum of its proper divisors (152724540784).

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

87186603920 is a wasteful number, since it uses less digits than its factorization.

87186603920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 87186603920 in words is "eighty-seven billion, one hundred eighty-six million, six hundred three thousand, nine hundred twenty".