13910925680640 has 1344 divisors, whose sum is σ = 53852759041536. Its totient is φ = 3303618379776.

The previous prime is 13910925680621. The next prime is 13910925680677. The reversal of 13910925680640 is 4608652901931.

13910925680640 is a `hidden beast` number, since 1 + 3 + 9 + 10 + 9 + 2 + 568 + 0 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14846238252 + ... + 14846239188.

It is an arithmetic number, because the mean of its divisors is an integer number (40069017144).

Almost surely, 2^{13910925680640} is an apocalyptic number.

13910925680640 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 13910925680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926379520768).

13910925680640 is an abundant number, since it is smaller than the sum of its proper divisors (39941833360896).

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

13910925680640 is a wasteful number, since it uses less digits than its factorization.

13910925680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 13910925680640 in words is "thirteen trillion, nine hundred ten billion, nine hundred twenty-five million, six hundred eighty thousand, six hundred forty".