13982757516000 has 3456 divisors, whose sum is σ = 67406765497344. Its totient is φ = 2771590348800.

The previous prime is 13982757515941. The next prime is 13982757516073. The reversal of 13982757516000 is 61575728931.

13982757516000 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 7 + 575 + 1 + 60 + 0 + 0 = 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 575 ways as a sum of consecutive naturals, for example, 25562627727 + ... + 25562628273.

It is an arithmetic number, because the mean of its divisors is an integer number (19504272424).

Almost surely, 2^{13982757516000} is an apocalyptic number.

13982757516000 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 13982757516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33703382748672).

13982757516000 is an abundant number, since it is smaller than the sum of its proper divisors (53424007981344).

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

13982757516000 is a wasteful number, since it uses less digits than its factorization.

13982757516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 13982757516000 in words is "thirteen trillion, nine hundred eighty-two billion, seven hundred fifty-seven million, five hundred sixteen thousand".