13880660774400 has 1440 divisors, whose sum is σ = 59591221417728. Its totient is φ = 3134088806400.

The previous prime is 13880660774381. The next prime is 13880660774473. The reversal of 13880660774400 is 447706608831.

13880660774400 is a `hidden beast` number, since 1 + 38 + 80 + 6 + 60 + 7 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1807138560 + ... + 1807146240.

Almost surely, 2^{13880660774400} is an apocalyptic number.

13880660774400 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 13880660774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795610708864).

13880660774400 is an abundant number, since it is smaller than the sum of its proper divisors (45710560643328).

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

13880660774400 is an frugal number, since it uses more digits than its factorization.

13880660774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 13880660774400 in words is "thirteen trillion, eight hundred eighty billion, six hundred sixty million, seven hundred seventy-four thousand, four hundred".