13797457920 has 256 divisors, whose sum is σ = 49072608000. Its totient is φ = 3678142464.

The previous prime is 13797457909. The next prime is 13797457963. The reversal of 13797457920 is 2975479731.

13797457920 is a `hidden beast` number, since 13 + 7 + 97 + 457 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422121 + ... + 4425239.

It is an arithmetic number, because the mean of its divisors is an integer number (191689875).

Almost surely, 2^13797457920 is an apocalyptic number.

13797457920 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 13797457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24536304000).

13797457920 is an abundant number, since it is smaller than the sum of its proper divisors (35275150080).

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

13797457920 is an frugal number, since it uses more digits than its factorization.

13797457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 13797457920 in words is "thirteen billion, seven hundred ninety-seven million, four hundred fifty-seven thousand, nine hundred twenty".