13729970800128 has 640 divisors, whose sum is σ = 44673577850880. Its totient is φ = 3693082705920.

The previous prime is 13729970800099. The next prime is 13729970800129. The reversal of 13729970800128 is 82100807992731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729970800129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238826075 + ... + 1238837157.

It is an arithmetic number, because the mean of its divisors is an integer number (69802465392).

Almost surely, 2^{13729970800128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729970800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336788925440).

13729970800128 is an abundant number, since it is smaller than the sum of its proper divisors (30943607050752).

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

13729970800128 is a wasteful number, since it uses less digits than its factorization.

13729970800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 13729970800128 in words is "thirteen trillion, seven hundred twenty-nine billion, nine hundred seventy million, eight hundred thousand, one hundred twenty-eight".