13738095028800 has 336 divisors, whose sum is σ = 50102152393920. Its totient is φ = 3661904056320.

The previous prime is 13738095028703. The next prime is 13738095028831. The reversal of 13738095028800 is 882059083731.

13738095028800 is a `hidden beast` number, since 137 + 380 + 9 + 50 + 2 + 8 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101322652 + ... + 101458148.

Almost surely, 2^{13738095028800} is an apocalyptic number.

13738095028800 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 13738095028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25051076196960).

13738095028800 is an abundant number, since it is smaller than the sum of its proper divisors (36364057365120).

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

13738095028800 is a wasteful number, since it uses less digits than its factorization.

13738095028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137875 (or 137854 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13738095028800 in words is "thirteen trillion, seven hundred thirty-eight billion, ninety-five million, twenty-eight thousand, eight hundred".