13788948096000 has 3168 divisors, whose sum is σ = 64399863265920. Its totient is φ = 2804465664000.

The previous prime is 13788948095971. The next prime is 13788948096037. The reversal of 13788948096000 is 69084988731.

13788948096000 is a `hidden beast` number, since 1 + 3 + 78 + 89 + 480 + 9 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32909183791 + ... + 32909184209.

Almost surely, 2^{13788948096000} is an apocalyptic number.

13788948096000 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 13788948096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199931632960).

13788948096000 is an abundant number, since it is smaller than the sum of its proper divisors (50610915169920).

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

13788948096000 is a wasteful number, since it uses less digits than its factorization.

13788948096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 13788948096000 in words is "thirteen trillion, seven hundred eighty-eight billion, nine hundred forty-eight million, ninety-six thousand".