13726381500 has 720 divisors, whose sum is σ = 51558963456. Its totient is φ = 3157056000.

The previous prime is 13726381499. The next prime is 13726381523. The reversal of 13726381500 is 518362731.

13726381500 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 638 + 15 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 442786485 + ... + 442786515.

Almost surely, 2^13726381500 is an apocalyptic number.

13726381500 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 13726381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779481728).

13726381500 is an abundant number, since it is smaller than the sum of its proper divisors (37832581956).

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

13726381500 is a wasteful number, since it uses less digits than its factorization.

13726381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13726381500 in words is "thirteen billion, seven hundred twenty-six million, three hundred eighty-one thousand, five hundred".