13379390265600 has 1296 divisors, whose sum is σ = 52685582406912. Its totient is φ = 3347646382080.

The previous prime is 13379390265587. The next prime is 13379390265613. The reversal of 13379390265600 is 656209397331.

13379390265600 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 3 + 9 + 0 + 26 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13379390265587) and next prime (13379390265613).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12240978654 + ... + 12240979746.

Almost surely, 2^{13379390265600} is an apocalyptic number.

13379390265600 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 13379390265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26342791203456).

13379390265600 is an abundant number, since it is smaller than the sum of its proper divisors (39306192141312).

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

13379390265600 is a wasteful number, since it uses less digits than its factorization.

13379390265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 13379390265600 in words is "thirteen trillion, three hundred seventy-nine billion, three hundred ninety million, two hundred sixty-five thousand, six hundred".