12557196288 has 1056 divisors, whose sum is σ = 50181304320. Its totient is φ = 3065610240.

The previous prime is 12557196287. The next prime is 12557196313. The reversal of 12557196288 is 88269175521.

12557196288 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 1 + 9 + 628 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557196287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405070833 + ... + 405070863.

Almost surely, 2^12557196288 is an apocalyptic number.

12557196288 is a gapful number since it is divisible by the number (18) 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 12557196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090652160).

12557196288 is an abundant number, since it is smaller than the sum of its proper divisors (37624108032).

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

12557196288 is a wasteful number, since it uses less digits than its factorization.

12557196288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 12557196288 in words is "twelve billion, five hundred fifty-seven million, one hundred ninety-six thousand, two hundred eighty-eight".