87565262400 has 1008 divisors, whose sum is σ = 391340571648. Its totient is φ = 18040320000.

The previous prime is 87565262371. The next prime is 87565262401. The reversal of 87565262400 is 426256578.

87565262400 is a `hidden beast` number, since 87 + 5 + 6 + 526 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (87565262401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167428539 + ... + 167429061.

Almost surely, 2^87565262400 is an apocalyptic number.

87565262400 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 87565262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195670285824).

87565262400 is an abundant number, since it is smaller than the sum of its proper divisors (303775309248).

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

87565262400 is a wasteful number, since it uses less digits than its factorization.

87565262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 87565262400 in words is "eighty-seven billion, five hundred sixty-five million, two hundred sixty-two thousand, four hundred".