13726140120 has 640 divisors, whose sum is σ = 59113359360. Its totient is φ = 2773232640.

The previous prime is 13726140101. The next prime is 13726140149. The reversal of 13726140120 is 2104162731.

13726140120 is a `hidden beast` number, since 1 + 37 + 2 + 614 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×13726140120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9230017 + ... + 9231503.

It is an arithmetic number, because the mean of its divisors is an integer number (92364624).

Almost surely, 2^13726140120 is an apocalyptic number.

13726140120 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 13726140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29556679680).

13726140120 is an abundant number, since it is smaller than the sum of its proper divisors (45387219240).

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

13726140120 is a wasteful number, since it uses less digits than its factorization.

13726140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13726140120 in words is "thirteen billion, seven hundred twenty-six million, one hundred forty thousand, one hundred twenty".