87505563600 has 1080 divisors, whose sum is σ = 390230148672. Its totient is φ = 18438451200.

The previous prime is 87505563577. The next prime is 87505563611. The reversal of 87505563600 is 636550578.

87505563600 is a `hidden beast` number, since 8 + 7 + 5 + 0 + 5 + 5 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 114987220 + ... + 114987980.

Almost surely, 2^87505563600 is an apocalyptic number.

87505563600 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 87505563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195115074336).

87505563600 is an abundant number, since it is smaller than the sum of its proper divisors (302724585072).

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

87505563600 is a wasteful number, since it uses less digits than its factorization.

87505563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 87505563600 in words is "eighty-seven billion, five hundred five million, five hundred sixty-three thousand, six hundred".