13797725760 has 1344 divisors, whose sum is σ = 64212825600. Its totient is φ = 2759049216.

The previous prime is 13797725723. The next prime is 13797725779. The reversal of 13797725760 is 6752779731.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×13797725760² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13797725697 and 13797725706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126584586 + ... + 126584694.

It is an arithmetic number, because the mean of its divisors is an integer number (47777400).

Almost surely, 2^13797725760 is an apocalyptic number.

13797725760 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 13797725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32106412800).

13797725760 is an abundant number, since it is smaller than the sum of its proper divisors (50415099840).

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

13797725760 is a wasteful number, since it uses less digits than its factorization.

13797725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 13797725760 in words is "thirteen billion, seven hundred ninety-seven million, seven hundred twenty-five thousand, seven hundred sixty".