9957045000 has 960 divisors, whose sum is σ = 41026867200. Its totient is φ = 1995840000.

The previous prime is 9957044971. The next prime is 9957045001. The reversal of 9957045000 is 5407599.

It is a self number, because there is not a number n which added to its sum of digits gives 9957045000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957045001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 321194985 + ... + 321195015.

It is an arithmetic number, because the mean of its divisors is an integer number (42736320).

Almost surely, 2^9957045000 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 9957045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513433600).

9957045000 is an abundant number, since it is smaller than the sum of its proper divisors (31069822200).

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

9957045000 is a wasteful number, since it uses less digits than its factorization.

9957045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 9957045000 is about 99784.9938618027. The cubic root of 9957045000 is about 2151.3454711503.

The spelling of 9957045000 in words is "nine billion, nine hundred fifty-seven million, forty-five thousand".