13787976400128 has 324 divisors, whose sum is σ = 46370752559040. Its totient is φ = 3928675903488.

The previous prime is 13787976400127. The next prime is 13787976400213. The reversal of 13787976400128 is 82100467978731.

13787976400128 is a `hidden beast` number, since 1 + 3 + 78 + 79 + 76 + 400 + 1 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787976400127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41266443 + ... + 41599221.

Almost surely, 2^{13787976400128} is an apocalyptic number.

13787976400128 is a gapful number since it is divisible by the number (18) 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 13787976400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185376279520).

13787976400128 is an abundant number, since it is smaller than the sum of its proper divisors (32582776158912).

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

13787976400128 is a wasteful number, since it uses less digits than its factorization.

13787976400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333182 (or 333158 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 13787976400128 in words is "thirteen trillion, seven hundred eighty-seven billion, nine hundred seventy-six million, four hundred thousand, one hundred twenty-eight".