87600046195200 has 1440 divisors, whose sum is σ = 367670361662208. Its totient is φ = 18180771840000.

The previous prime is 87600046195183. The next prime is 87600046195231. The reversal of 87600046195200 is 259164000678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87600046195200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21753175587 + ... + 21753179613.

Almost surely, 2^{87600046195200} is an apocalyptic number.

87600046195200 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 87600046195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183835180831104).

87600046195200 is an abundant number, since it is smaller than the sum of its proper divisors (280070315467008).

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

87600046195200 is a wasteful number, since it uses less digits than its factorization.

87600046195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 87600046195200 in words is "eighty-seven trillion, six hundred billion, forty-six million, one hundred ninety-five thousand, two hundred".