13739179504050 has 2592 divisors, whose sum is σ = 55875974708736. Its totient is φ = 2477396275200.

The previous prime is 13739179504049. The next prime is 13739179504087. The reversal of 13739179504050 is 5040597193731.

13739179504050 is a `hidden beast` number, since 1 + 3 + 73 + 9 + 17 + 9 + 504 + 0 + 50 = 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 polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 15920253919 + ... + 15920254781.

It is an arithmetic number, because the mean of its divisors is an integer number (21557089008).

Almost surely, 2^{13739179504050} is an apocalyptic number.

13739179504050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13739179504050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937987354368).

13739179504050 is an abundant number, since it is smaller than the sum of its proper divisors (42136795204686).

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

13739179504050 is a wasteful number, since it uses less digits than its factorization.

13739179504050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 13739179504050 in words is "thirteen trillion, seven hundred thirty-nine billion, one hundred seventy-nine million, five hundred four thousand, fifty".