13269900686400 has 1680 divisors, whose sum is σ = 52482873301760. Its totient is φ = 3292383283200.

The previous prime is 13269900686351. The next prime is 13269900686431. The reversal of 13269900686400 is 468600996231.

13269900686400 is a `hidden beast` number, since 1 + 32 + 69 + 90 + 0 + 68 + 6 + 400 = 666.

It is a super-2 number, since 2×13269900686400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40090334235 + ... + 40090334565.

Almost surely, 2^{13269900686400} is an apocalyptic number.

13269900686400 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 13269900686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241436650880).

13269900686400 is an abundant number, since it is smaller than the sum of its proper divisors (39212972615360).

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

13269900686400 is an frugal number, since it uses more digits than its factorization.

13269900686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13269900686400 in words is "thirteen trillion, two hundred sixty-nine billion, nine hundred million, six hundred eighty-six thousand, four hundred".