13726807488 has 336 divisors, whose sum is σ = 44398692000. Its totient is φ = 4029087744.

The previous prime is 13726807477. The next prime is 13726807511. The reversal of 13726807488 is 88470862731.

It is a happy number.

13726807488 is a `hidden beast` number, since 13 + 72 + 6 + 80 + 7 + 488 = 666.

It is a super-2 number, since 2×13726807488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16557858 + ... + 16558686.

Almost surely, 2^13726807488 is an apocalyptic number.

13726807488 is a gapful number since it is divisible by the number (18) 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 13726807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199346000).

13726807488 is an abundant number, since it is smaller than the sum of its proper divisors (30671884512).

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

13726807488 is a wasteful number, since it uses less digits than its factorization.

13726807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13726807488 in words is "thirteen billion, seven hundred twenty-six million, eight hundred seven thousand, four hundred eighty-eight".