13125928233600 has 2592 divisors, whose sum is σ = 60303153119040. Its totient is φ = 2708187955200.

The previous prime is 13125928233599. The next prime is 13125928233601. The reversal of 13125928233600 is 633282952131.

13125928233600 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 9 + 2 + 8 + 2 + 33 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13125928233599) and next prime (13125928233601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13125928233601) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 11209161015 + ... + 11209162185.

It is an arithmetic number, because the mean of its divisors is an integer number (23265105370).

Almost surely, 2^{13125928233600} is an apocalyptic number.

13125928233600 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 13125928233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30151576559520).

13125928233600 is an abundant number, since it is smaller than the sum of its proper divisors (47177224885440).

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

13125928233600 is a wasteful number, since it uses less digits than its factorization.

13125928233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13125928233600 in words is "thirteen trillion, one hundred twenty-five billion, nine hundred twenty-eight million, two hundred thirty-three thousand, six hundred".