12525513880320 has 864 divisors, whose sum is σ = 50417143096320. Its totient is φ = 2811721973760.

The previous prime is 12525513880307. The next prime is 12525513880333. The reversal of 12525513880320 is 2308831552521.

12525513880320 is a `hidden beast` number, since 1 + 2 + 5 + 25 + 513 + 8 + 80 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12525513880307) and next prime (12525513880333).

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

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, 4068044541 + ... + 4068047619.

It is an arithmetic number, because the mean of its divisors is an integer number (58353174880).

Almost surely, 2^{12525513880320} is an apocalyptic number.

12525513880320 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 12525513880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208571548160).

12525513880320 is an abundant number, since it is smaller than the sum of its proper divisors (37891629216000).

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

12525513880320 is a wasteful number, since it uses less digits than its factorization.

12525513880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12525513880320 in words is "twelve trillion, five hundred twenty-five billion, five hundred thirteen million, eight hundred eighty thousand, three hundred twenty".