13886137722240 has 2304 divisors, whose sum is σ = 62924844790080. Its totient is φ = 2905529647104.

The previous prime is 13886137722227. The next prime is 13886137722251. The reversal of 13886137722240 is 4222773168831.

It is a happy number.

13886137722240 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 1 + 377 + 22 + 240 = 666.

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 287 ways as a sum of consecutive naturals, for example, 4793280472 + ... + 4793283368.

Almost surely, 2^{13886137722240} is an apocalyptic number.

13886137722240 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 13886137722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31462422395040).

13886137722240 is an abundant number, since it is smaller than the sum of its proper divisors (49038707067840).

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

13886137722240 is a wasteful number, since it uses less digits than its factorization.

13886137722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 13886137722240 in words is "thirteen trillion, eight hundred eighty-six billion, one hundred thirty-seven million, seven hundred twenty-two thousand, two hundred forty".