9997953120 has 288 divisors, whose sum is σ = 35658893088. Its totient is φ = 2645250048.

The previous prime is 9997953109. The next prime is 9997953137. The reversal of 9997953120 is 213597999.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5325622 + ... + 5327498.

It is an arithmetic number, because the mean of its divisors is an integer number (123815601).

Almost surely, 2^9997953120 is an apocalyptic number.

9997953120 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 9997953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829446544).

9997953120 is an abundant number, since it is smaller than the sum of its proper divisors (25660939968).

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

9997953120 is a wasteful number, since it uses less digits than its factorization.

9997953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The square root of 9997953120 is about 99989.7650762317. The cubic root of 9997953120 is about 2154.2876843587.

The spelling of 9997953120 in words is "nine billion, nine hundred ninety-seven million, nine hundred fifty-three thousand, one hundred twenty".