13901279745600 has 3360 divisors, whose sum is σ = 61464066048000. Its totient is φ = 3048749383680.

The previous prime is 13901279745557. The next prime is 13901279745629. The reversal of 13901279745600 is 654797210931.

13901279745600 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 1 + 2 + 7 + 9 + 74 + 560 + 0 = 666.

It is a super-3 number, since 3×13901279745600³ (a number of 40 digits) contains 333 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 479 ways as a sum of consecutive naturals, for example, 58164350281 + ... + 58164350519.

It is an arithmetic number, because the mean of its divisors is an integer number (18292876800).

Almost surely, 2^{13901279745600} is an apocalyptic number.

13901279745600 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 13901279745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30732033024000).

13901279745600 is an abundant number, since it is smaller than the sum of its proper divisors (47562786302400).

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

13901279745600 is a wasteful number, since it uses less digits than its factorization.

13901279745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 13901279745600 in words is "thirteen trillion, nine hundred one billion, two hundred seventy-nine million, seven hundred forty-five thousand, six hundred".