9552821749920 has 384 divisors, whose sum is σ = 34529918976000. Its totient is φ = 2464065930240.

The previous prime is 9552821749883. The next prime is 9552821749931. The reversal of 9552821749920 is 299471282559.

9552821749920 is a `hidden beast` number, since 9 + 5 + 52 + 82 + 17 + 499 + 2 + 0 = 666.

It is a super-2 number, since 2×9552821749920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299830951 + ... + 299862809.

It is an arithmetic number, because the mean of its divisors is an integer number (89921664000).

Almost surely, 2^{9552821749920} is an apocalyptic number.

9552821749920 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 9552821749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264959488000).

9552821749920 is an abundant number, since it is smaller than the sum of its proper divisors (24977097226080).

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

9552821749920 is a wasteful number, since it uses less digits than its factorization.

9552821749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34153 (or 34139 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 9552821749920 in words is "nine trillion, five hundred fifty-two billion, eight hundred twenty-one million, seven hundred forty-nine thousand, nine hundred twenty".