13797565920 has 480 divisors, whose sum is σ = 51757120800. Its totient is φ = 3451797504.

The previous prime is 13797565913. The next prime is 13797565931. The reversal of 13797565920 is 2956579731.

13797565920 is a `hidden beast` number, since 1 + 3 + 79 + 7 + 565 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 33734676 + ... + 33735084.

It is an arithmetic number, because the mean of its divisors is an integer number (107827335).

Almost surely, 2^13797565920 is an apocalyptic number.

13797565920 is a gapful number since it is divisible by the number (10) 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 13797565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878560400).

13797565920 is an abundant number, since it is smaller than the sum of its proper divisors (37959554880).

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

13797565920 is a wasteful number, since it uses less digits than its factorization.

13797565920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 13797565920 in words is "thirteen billion, seven hundred ninety-seven million, five hundred sixty-five thousand, nine hundred twenty".