87223910400 has 900 divisors, whose sum is σ = 353977968960. Its totient is φ = 21056716800.

The previous prime is 87223910381. The next prime is 87223910447. The reversal of 87223910400 is 401932278.

87223910400 is a `hidden beast` number, since 8 + 7 + 2 + 239 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 364953481 + ... + 364953719.

Almost surely, 2^87223910400 is an apocalyptic number.

87223910400 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 87223910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176988984480).

87223910400 is an abundant number, since it is smaller than the sum of its proper divisors (266754058560).

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

87223910400 is a wasteful number, since it uses less digits than its factorization.

87223910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 87223910400 in words is "eighty-seven billion, two hundred twenty-three million, nine hundred ten thousand, four hundred".