12257052528960 has 1120 divisors, whose sum is σ = 47645626913280. Its totient is φ = 2980609228800.

The previous prime is 12257052528943. The next prime is 12257052528961. The reversal of 12257052528960 is 6982525075221.

12257052528960 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 0 + 52 + 528 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12257052528897 and 12257052528906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257052528961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1411935820 + ... + 1411944500.

Almost surely, 2^{12257052528960} is an apocalyptic number.

12257052528960 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 12257052528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822813456640).

12257052528960 is an abundant number, since it is smaller than the sum of its proper divisors (35388574384320).

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

12257052528960 is a wasteful number, since it uses less digits than its factorization.

12257052528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 12257052528960 in words is "twelve trillion, two hundred fifty-seven billion, fifty-two million, five hundred twenty-eight thousand, nine hundred sixty".