13925651742720 has 1024 divisors, whose sum is σ = 51956567424000. Its totient is φ = 3533961166848.

The previous prime is 13925651742661. The next prime is 13925651742791. The reversal of 13925651742720 is 2724715652931.

13925651742720 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 56 + 517 + 4 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9364929817 + ... + 9364931303.

It is an arithmetic number, because the mean of its divisors is an integer number (50738835375).

Almost surely, 2^{13925651742720} is an apocalyptic number.

13925651742720 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 13925651742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978283712000).

13925651742720 is an abundant number, since it is smaller than the sum of its proper divisors (38030915681280).

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

13925651742720 is an equidigital number, since it uses as much as digits as its factorization.

13925651742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 13925651742720 in words is "thirteen trillion, nine hundred twenty-five billion, six hundred fifty-one million, seven hundred forty-two thousand, seven hundred twenty".