13985874201600 has 1320 divisors, whose sum is σ = 59311343021568. Its totient is φ = 3190026240000.

The previous prime is 13985874201589. The next prime is 13985874201613. The reversal of 13985874201600 is 610247858931.

13985874201600 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 8 + 7 + 4 + 20 + 1 + 600 = 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 119 ways as a sum of consecutive naturals, for example, 10900914559 + ... + 10900915841.

It is a 1-persistent number, because it is pandigital, but 2⋅13985874201600 = 27971748403200 is not.

Almost surely, 2^{13985874201600} is an apocalyptic number.

13985874201600 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 13985874201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29655671510784).

13985874201600 is an abundant number, since it is smaller than the sum of its proper divisors (45325468819968).

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

13985874201600 is a wasteful number, since it uses less digits than its factorization.

13985874201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13985874201600 in words is "thirteen trillion, nine hundred eighty-five billion, eight hundred seventy-four million, two hundred one thousand, six hundred".