87565722300 has 360 divisors, whose sum is σ = 325196936064. Its totient is φ = 19966124160.

The previous prime is 87565722247. The next prime is 87565722311. The reversal of 87565722300 is 322756578.

87565722300 is a `hidden beast` number, since 8 + 7 + 56 + 572 + 23 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26477247 + ... + 26480553.

Almost surely, 2^87565722300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87565722300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162598468032).

87565722300 is an abundant number, since it is smaller than the sum of its proper divisors (237631213764).

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

87565722300 is a wasteful number, since it uses less digits than its factorization.

87565722300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 87565722300 in words is "eighty-seven billion, five hundred sixty-five million, seven hundred twenty-two thousand, three hundred".