87015600000 has 768 divisors, whose sum is σ = 367176499200. Its totient is φ = 19872000000.

The previous prime is 87015599963. The next prime is 87015600041. The reversal of 87015600000 is 651078.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75599425 + ... + 75600575.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400).

Almost surely, 2^87015600000 is an apocalyptic number.

87015600000 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 87015600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183588249600).

87015600000 is an abundant number, since it is smaller than the sum of its proper divisors (280160899200).

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

87015600000 is an equidigital number, since it uses as much as digits as its factorization.

87015600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 87015600000 in words is "eighty-seven billion, fifteen million, six hundred thousand".