9957381120 has 264 divisors, whose sum is σ = 34669875240. Its totient is φ = 2642411520.

The previous prime is 9957381103. The next prime is 9957381127. The reversal of 9957381120 is 211837599.

It can be written as a sum of positive squares in 4 ways, for example, as 1214383104 + 8742998016 = 34848^2 + 93504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957381127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12948096 + ... + 12948864.

It is an arithmetic number, because the mean of its divisors is an integer number (131325285).

Almost surely, 2^9957381120 is an apocalyptic number.

9957381120 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 9957381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334937620).

9957381120 is an abundant number, since it is smaller than the sum of its proper divisors (24712494120).

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

9957381120 is a wasteful number, since it uses less digits than its factorization.

9957381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 9957381120 is about 99786.6780687683. The cubic root of 9957381120 is about 2151.3696785366.

The spelling of 9957381120 in words is "nine billion, nine hundred fifty-seven million, three hundred eighty-one thousand, one hundred twenty".