87045897818880 has 3456 divisors, whose sum is σ = 425070396979200. Its totient is φ = 16408897781760.

The previous prime is 87045897818849. The next prime is 87045897818923. The reversal of 87045897818880 is 8881879854078.

87045897818880 is a `hidden beast` number, since 8 + 7 + 0 + 458 + 9 + 7 + 8 + 1 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a self number, because there is not a number n which added to its sum of digits gives 87045897818880.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22451867502 + ... + 22451871378.

Almost surely, 2^{87045897818880} is an apocalyptic number.

87045897818880 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 87045897818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212535198489600).

87045897818880 is an abundant number, since it is smaller than the sum of its proper divisors (338024499160320).

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

87045897818880 is a wasteful number, since it uses less digits than its factorization.

87045897818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 81.

The spelling of 87045897818880 in words is "eighty-seven trillion, forty-five billion, eight hundred ninety-seven million, eight hundred eighteen thousand, eight hundred eighty".