87884913600 has 2016 divisors, whose sum is σ = 398119518720. Its totient is φ = 18734284800.

The previous prime is 87884913563. The next prime is 87884913607. The reversal of 87884913600 is 631948878.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87884913607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2043835179 + ... + 2043835221.

It is an arithmetic number, because the mean of its divisors is an integer number (197479920).

Almost surely, 2^87884913600 is an apocalyptic number.

87884913600 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 87884913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199059759360).

87884913600 is an abundant number, since it is smaller than the sum of its proper divisors (310234605120).

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

87884913600 is a wasteful number, since it uses less digits than its factorization.

87884913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 87884913600 in words is "eighty-seven billion, eight hundred eighty-four million, nine hundred thirteen thousand, six hundred".