9132552748800 has 756 divisors, whose sum is σ = 36498499517704. Its totient is φ = 2247998054400.

The previous prime is 9132552748789. The next prime is 9132552748801. The reversal of 9132552748800 is 88472552319.

9132552748800 is a `hidden beast` number, since 9 + 1 + 3 + 2 + 552 + 7 + 4 + 8 + 80 + 0 = 666.

9132552748800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9132552748800² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (9132552748801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60577515 + ... + 60728085.

Almost surely, 2^{9132552748800} is an apocalyptic number.

9132552748800 is a gapful number since it is divisible by the number (90) 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 9132552748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249249758852).

9132552748800 is an abundant number, since it is smaller than the sum of its proper divisors (27365946768904).

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

9132552748800 is a wasteful number, since it uses less digits than its factorization.

9132552748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150628 (or 150594 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 9132552748800 in words is "nine trillion, one hundred thirty-two billion, five hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".