10087530242400 has 360 divisors, whose sum is σ = 39617053971264. Its totient is φ = 2483084160000.

The previous prime is 10087530242347. The next prime is 10087530242401. The reversal of 10087530242400 is 424203578001.

It is a happy number.

10087530242400 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 5 + 3 + 0 + 242 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087530242401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5144976 + ... + 6829775.

Almost surely, 2^{10087530242400} is an apocalyptic number.

10087530242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10087530242400 is an abundant number, since it is smaller than the sum of its proper divisors (29529523728864).

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

10087530242400 is a wasteful number, since it uses less digits than its factorization.

10087530242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11974796 (or 11974774 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10087530242400 in words is "ten trillion, eighty-seven billion, five hundred thirty million, two hundred forty-two thousand, four hundred".