87533750304 has 720 divisors, whose sum is σ = 348378174144. Its totient is φ = 20980270080.

The previous prime is 87533750287. The next prime is 87533750347. The reversal of 87533750304 is 40305733578.

87533750304 is a `hidden beast` number, since 8 + 7 + 5 + 337 + 5 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87533750304.

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, 28538979 + ... + 28542045.

Almost surely, 2^87533750304 is an apocalyptic number.

87533750304 is a gapful number since it is divisible by the number (84) 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 87533750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174189087072).

87533750304 is an abundant number, since it is smaller than the sum of its proper divisors (260844423840).

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

87533750304 is a wasteful number, since it uses less digits than its factorization.

87533750304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 87533750304 in words is "eighty-seven billion, five hundred thirty-three million, seven hundred fifty thousand, three hundred four".