13907644228800 has 2688 divisors, whose sum is σ = 63607205068800. Its totient is φ = 2884460544000.

The previous prime is 13907644228741. The next prime is 13907644228817. The reversal of 13907644228800 is 882244670931.

13907644228800 is a `hidden beast` number, since 1 + 39 + 0 + 76 + 442 + 28 + 80 + 0 = 666.

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

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, 20126836455 + ... + 20126837145.

Almost surely, 2^{13907644228800} is an apocalyptic number.

13907644228800 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 13907644228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31803602534400).

13907644228800 is an abundant number, since it is smaller than the sum of its proper divisors (49699560840000).

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

13907644228800 is a wasteful number, since it uses less digits than its factorization.

13907644228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13907644228800 in words is "thirteen trillion, nine hundred seven billion, six hundred forty-four million, two hundred twenty-eight thousand, eight hundred".