13625794560 has 672 divisors, whose sum is σ = 53071483392. Its totient is φ = 2972712960.

The previous prime is 13625794547. The next prime is 13625794579. The reversal of 13625794560 is 6549752631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186654684 + ... + 186654756.

Almost surely, 2^13625794560 is an apocalyptic number.

13625794560 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 13625794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535741696).

13625794560 is an abundant number, since it is smaller than the sum of its proper divisors (39445688832).

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

13625794560 is an equidigital number, since it uses as much as digits as its factorization.

13625794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 13625794560 in words is "thirteen billion, six hundred twenty-five million, seven hundred ninety-four thousand, five hundred sixty".