13800129687288 has 80 divisors (see below), whose sum is σ = 44175018325680. Its totient is φ = 3942894195072.

The previous prime is 13800129687257. The next prime is 13800129687371. The reversal of 13800129687288 is 88278692100831.

13800129687288 is a `hidden beast` number, since 1 + 380 + 0 + 12 + 96 + 87 + 2 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1521173781 + ... + 1521182852.

It is an arithmetic number, because the mean of its divisors is an integer number (552187729071).

Almost surely, 2^{13800129687288} is an apocalyptic number.

13800129687288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13800129687288 is an abundant number, since it is smaller than the sum of its proper divisors (30374888638392).

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

13800129687288 is a wasteful number, since it uses less digits than its factorization.

13800129687288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042356658 (or 3042356645 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 13800129687288 in words is "thirteen trillion, eight hundred billion, one hundred twenty-nine million, six hundred eighty-seven thousand, two hundred eighty-eight".