13925289215760 has 320 divisors, whose sum is σ = 46974226790400. Its totient is φ = 3412363548672.

The previous prime is 13925289215729. The next prime is 13925289215819. The reversal of 13925289215760 is 6751298252931.

13925289215760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13925289215694 and 13925289215703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117524226 + ... + 117642654.

It is an arithmetic number, because the mean of its divisors is an integer number (146794458720).

Almost surely, 2^{13925289215760} is an apocalyptic number.

13925289215760 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 13925289215760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487113395200).

13925289215760 is an abundant number, since it is smaller than the sum of its proper divisors (33048937574640).

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

13925289215760 is a wasteful number, since it uses less digits than its factorization.

13925289215760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118707 (or 118675 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 13925289215760 in words is "thirteen trillion, nine hundred twenty-five billion, two hundred eighty-nine million, two hundred fifteen thousand, seven hundred sixty".