13970786368000 has 1280 divisors, whose sum is σ = 45299500646400. Its totient is φ = 4170424320000.

The previous prime is 13970786367983. The next prime is 13970786368039. The reversal of 13970786368000 is 86368707931.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16651711581 + ... + 16651712419.

It is an arithmetic number, because the mean of its divisors is an integer number (35390234880).

Almost surely, 2^{13970786368000} is an apocalyptic number.

13970786368000 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 13970786368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649750323200).

13970786368000 is an abundant number, since it is smaller than the sum of its proper divisors (31328714278400).

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

13970786368000 is a wasteful number, since it uses less digits than its factorization.

13970786368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 13970786368000 in words is "thirteen trillion, nine hundred seventy billion, seven hundred eighty-six million, three hundred sixty-eight thousand".