87892560000 has 640 divisors, whose sum is σ = 370523894400. Its totient is φ = 20086272000.

The previous prime is 87892559981. The next prime is 87892560031. The reversal of 87892560000 is 6529878.

87892560000 is a `hidden beast` number, since 8 + 7 + 89 + 2 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15117094 + ... + 15122906.

It is an arithmetic number, because the mean of its divisors is an integer number (578943585).

Almost surely, 2^87892560000 is an apocalyptic number.

87892560000 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 87892560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185261947200).

87892560000 is an abundant number, since it is smaller than the sum of its proper divisors (282631334400).

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

87892560000 is an equidigital number, since it uses as much as digits as its factorization.

87892560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 87892560000 in words is "eighty-seven billion, eight hundred ninety-two million, five hundred sixty thousand".