13788880560000 has 5120 divisors, whose sum is σ = 67451408640000. Its totient is φ = 2694021120000.

The previous prime is 13788880559981. The next prime is 13788880560073. The reversal of 13788880560000 is 6508888731.

It is a happy number.

13788880560000 is a `hidden beast` number, since 1 + 3 + 78 + 8 + 8 + 8 + 0 + 560 + 0 + 0 + 0 = 666.

13788880560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 639 ways as a sum of consecutive naturals, for example, 233709839971 + ... + 233709840029.

It is an arithmetic number, because the mean of its divisors is an integer number (13174103250).

Almost surely, 2^{13788880560000} is an apocalyptic number.

13788880560000 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 13788880560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33725704320000).

13788880560000 is an abundant number, since it is smaller than the sum of its proper divisors (53662528080000).

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

13788880560000 is a wasteful number, since it uses less digits than its factorization.

13788880560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 13788880560000 in words is "thirteen trillion, seven hundred eighty-eight billion, eight hundred eighty million, five hundred sixty thousand".