13725770122368 has 960 divisors, whose sum is σ = 44194055875200. Its totient is φ = 4225253953536.

The previous prime is 13725770122357. The next prime is 13725770122369. The reversal of 13725770122368 is 86322107752731.

13725770122368 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 577 + 0 + 1 + 2 + 2 + 3 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13725770122369) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48500954355 + ... + 48500954637.

It is an arithmetic number, because the mean of its divisors is an integer number (46035474870).

Almost surely, 2^{13725770122368} is an apocalyptic number.

13725770122368 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 13725770122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097027937600).

13725770122368 is an abundant number, since it is smaller than the sum of its proper divisors (30468285752832).

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

13725770122368 is a wasteful number, since it uses less digits than its factorization.

13725770122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 13725770122368 in words is "thirteen trillion, seven hundred twenty-five billion, seven hundred seventy million, one hundred twenty-two thousand, three hundred sixty-eight".