9513750892800 has 1728 divisors, whose sum is σ = 41496384061440. Its totient is φ = 1859604480000.

The previous prime is 9513750892787. The next prime is 9513750892829. The reversal of 9513750892800 is 82980573159.

It is a super-2 number, since 2×9513750892800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4241528479 + ... + 4241530721.

Almost surely, 2^{9513750892800} 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 9513750892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748192030720).

9513750892800 is an abundant number, since it is smaller than the sum of its proper divisors (31982633168640).

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

9513750892800 is a wasteful number, since it uses less digits than its factorization.

9513750892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 9513750892800 in words is "nine trillion, five hundred thirteen billion, seven hundred fifty million, eight hundred ninety-two thousand, eight hundred".