9157238838720 has 2016 divisors, whose sum is σ = 41369738342400. Its totient is φ = 1841930108928.

The previous prime is 9157238838659. The next prime is 9157238838749. The reversal of 9157238838720 is 278388327519.

9157238838720 is a `hidden beast` number, since 9 + 1 + 572 + 3 + 8 + 8 + 38 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3600957769 + ... + 3600960311.

Almost surely, 2^{9157238838720} is an apocalyptic number.

9157238838720 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 9157238838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684869171200).

9157238838720 is an abundant number, since it is smaller than the sum of its proper divisors (32212499503680).

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

9157238838720 is a wasteful number, since it uses less digits than its factorization.

9157238838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 9157238838720 in words is "nine trillion, one hundred fifty-seven billion, two hundred thirty-eight million, eight hundred thirty-eight thousand, seven hundred twenty".