13625568000 has 1296 divisors, whose sum is σ = 59542112448. Its totient is φ = 2973696000.

The previous prime is 13625567971. The next prime is 13625568001. The reversal of 13625568000 is 86552631.

It is a super-2 number, since 2×13625568000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13625568001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 592415989 + ... + 592416011.

It is an arithmetic number, because the mean of its divisors is an integer number (45942988).

Almost surely, 2^13625568000 is an apocalyptic number.

13625568000 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 13625568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29771056224).

13625568000 is an abundant number, since it is smaller than the sum of its proper divisors (45916544448).

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

13625568000 is a wasteful number, since it uses less digits than its factorization.

13625568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13625568000 in words is "thirteen billion, six hundred twenty-five million, five hundred sixty-eight thousand".