13657505040 has 160 divisors (see below), whose sum is σ = 47249654400. Its totient is φ = 3625966080.

The previous prime is 13657505023. The next prime is 13657505063. The reversal of 13657505040 is 4050575631.

13657505040 is a `hidden beast` number, since 1 + 36 + 575 + 0 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13657504986 and 13657505004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480835 + ... + 508445.

It is an arithmetic number, because the mean of its divisors is an integer number (295310340).

Almost surely, 2^13657505040 is an apocalyptic number.

13657505040 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 13657505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23624827200).

13657505040 is an abundant number, since it is smaller than the sum of its proper divisors (33592149360).

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

13657505040 is a wasteful number, since it uses less digits than its factorization.

13657505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27862 (or 27850 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 13657505040 in words is "thirteen billion, six hundred fifty-seven million, five hundred five thousand, forty".