87961804800 has 336 divisors, whose sum is σ = 295736479392. Its totient is φ = 23062118400.

The previous prime is 87961804783. The next prime is 87961804817. The reversal of 87961804800 is 840816978.

It is an interprime number because it is at equal distance from previous prime (87961804783) and next prime (87961804817).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37477227 + ... + 37479573.

Almost surely, 2^87961804800 is an apocalyptic number.

87961804800 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 87961804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147868239696).

87961804800 is an abundant number, since it is smaller than the sum of its proper divisors (207774674592).

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

87961804800 is a wasteful number, since it uses less digits than its factorization.

87961804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 87961804800 in words is "eighty-seven billion, nine hundred sixty-one million, eight hundred four thousand, eight hundred".