87838108800 has 384 divisors, whose sum is σ = 313626384960. Its totient is φ = 21479178240.

The previous prime is 87838108751. The next prime is 87838108867. The reversal of 87838108800 is 880183878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19591359 + ... + 19595841.

Almost surely, 2^87838108800 is an apocalyptic number.

87838108800 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 87838108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156813192480).

87838108800 is an abundant number, since it is smaller than the sum of its proper divisors (225788276160).

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

87838108800 is a wasteful number, since it uses less digits than its factorization.

87838108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 87838108800 in words is "eighty-seven billion, eight hundred thirty-eight million, one hundred eight thousand, eight hundred".