87263924400 has 540 divisors, whose sum is σ = 322528382904. Its totient is φ = 22674816000.

The previous prime is 87263924381. The next prime is 87263924513. The reversal of 87263924400 is 442936278.

87263924400 is a `hidden beast` number, since 8 + 7 + 2 + 639 + 2 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×87263924400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107599995 + ... + 107600805.

Almost surely, 2^87263924400 is an apocalyptic number.

87263924400 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 87263924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161264191452).

87263924400 is an abundant number, since it is smaller than the sum of its proper divisors (235264458504).

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

87263924400 is an equidigital number, since it uses as much as digits as its factorization.

87263924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 87263924400 in words is "eighty-seven billion, two hundred sixty-three million, nine hundred twenty-four thousand, four hundred".