13539164126400 has 3360 divisors, whose sum is σ = 61261015115520. Its totient is φ = 2926562918400.

The previous prime is 13539164126317. The next prime is 13539164126431. The reversal of 13539164126400 is 462146193531.

13539164126400 is a `hidden beast` number, since 1 + 3 + 539 + 1 + 64 + 12 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 712587585591 + ... + 712587585609.

Almost surely, 2^{13539164126400} is an apocalyptic number.

13539164126400 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 13539164126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30630507557760).

13539164126400 is an abundant number, since it is smaller than the sum of its proper divisors (47721850989120).

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

13539164126400 is an frugal number, since it uses more digits than its factorization.

13539164126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13539164126400 in words is "thirteen trillion, five hundred thirty-nine billion, one hundred sixty-four million, one hundred twenty-six thousand, four hundred".