87912086400 has 960 divisors, whose sum is σ = 349575795360. Its totient is φ = 21676032000.

The previous prime is 87912086387. The next prime is 87912086419. The reversal of 87912086400 is 468021978.

87912086400 is a `hidden beast` number, since 87 + 91 + 2 + 0 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312854260 + ... + 312854540.

Almost surely, 2^87912086400 is an apocalyptic number.

87912086400 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 87912086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787897680).

87912086400 is an abundant number, since it is smaller than the sum of its proper divisors (261663708960).

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

87912086400 is a wasteful number, since it uses less digits than its factorization.

87912086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87912086400 in words is "eighty-seven billion, nine hundred twelve million, eighty-six thousand, four hundred".