87860936266880 has 512 divisors, whose sum is σ = 267632556710400. Its totient is φ = 26850923642880.

The previous prime is 87860936266849. The next prime is 87860936266903. The reversal of 87860936266880 is 8866263906878.

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, 5610166250 + ... + 5610181910.

It is an arithmetic number, because the mean of its divisors is an integer number (522719837325).

Almost surely, 2^{87860936266880} is an apocalyptic number.

87860936266880 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 87860936266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133816278355200).

87860936266880 is an abundant number, since it is smaller than the sum of its proper divisors (179771620443520).

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

87860936266880 is a wasteful number, since it uses less digits than its factorization.

87860936266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19600 (or 19588 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 77.

The spelling of 87860936266880 in words is "eighty-seven trillion, eight hundred sixty billion, nine hundred thirty-six million, two hundred sixty-six thousand, eight hundred eighty".