87530247604800 has 10080 divisors, whose sum is σ = 477233350539264. Its totient is φ = 15216574464000.

The previous prime is 87530247604781. The next prime is 87530247604823. The reversal of 87530247604800 is 840674203578.

87530247604800 is a `hidden beast` number, since 8 + 7 + 5 + 3 + 0 + 24 + 7 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a super-2 number, since 2×87530247604800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1232820388765 + ... + 1232820388835.

Almost surely, 2^{87530247604800} is an apocalyptic number.

87530247604800 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 87530247604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238616675269632).

87530247604800 is an abundant number, since it is smaller than the sum of its proper divisors (389703102934464).

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

87530247604800 is a wasteful number, since it uses less digits than its factorization.

87530247604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 87530247604800 in words is "eighty-seven trillion, five hundred thirty billion, two hundred forty-seven million, six hundred four thousand, eight hundred".