13657527707040 has 768 divisors, whose sum is σ = 57856356311040. Its totient is φ = 2941416529920.

The previous prime is 13657527707009. The next prime is 13657527707069. The reversal of 13657527707040 is 4070772575631.

13657527707040 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 7 + 527 + 7 + 0 + 70 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 46453300 + ... + 46746380.

It is an arithmetic number, because the mean of its divisors is an integer number (75333797280).

Almost surely, 2^{13657527707040} is an apocalyptic number.

13657527707040 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 13657527707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28928178155520).

13657527707040 is an abundant number, since it is smaller than the sum of its proper divisors (44198828604000).

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

13657527707040 is a wasteful number, since it uses less digits than its factorization.

13657527707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293202 (or 293188 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 13657527707040 in words is "thirteen trillion, six hundred fifty-seven billion, five hundred twenty-seven million, seven hundred seven thousand, forty".