87399436800 has 240 divisors, whose sum is σ = 310929474240. Its totient is φ = 21513584640.

The previous prime is 87399436777. The next prime is 87399436811. The reversal of 87399436800 is 863499378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411661 + ... + 586739.

It is an arithmetic number, because the mean of its divisors is an integer number (1295539476).

Almost surely, 2^87399436800 is an apocalyptic number.

87399436800 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 87399436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155464737120).

87399436800 is an abundant number, since it is smaller than the sum of its proper divisors (223530037440).

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

87399436800 is a wasteful number, since it uses less digits than its factorization.

87399436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175123 (or 175102 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 87399436800 in words is "eighty-seven billion, three hundred ninety-nine million, four hundred thirty-six thousand, eight hundred".