13386699500400 has 1920 divisors, whose sum is σ = 53756833152000. Its totient is φ = 3149078446080.

The previous prime is 13386699500353. The next prime is 13386699500423. The reversal of 13386699500400 is 400599668331.

13386699500400 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 6 + 6 + 99 + 500 + 40 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 35889274614 + ... + 35889274986.

It is an arithmetic number, because the mean of its divisors is an integer number (27998350600).

Almost surely, 2^{13386699500400} is an apocalyptic number.

13386699500400 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 13386699500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26878416576000).

13386699500400 is an abundant number, since it is smaller than the sum of its proper divisors (40370133651600).

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

13386699500400 is a wasteful number, since it uses less digits than its factorization.

13386699500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13386699500400 in words is "thirteen trillion, three hundred eighty-six billion, six hundred ninety-nine million, five hundred thousand, four hundred".