12562624980 has 288 divisors, whose sum is σ = 41726700288. Its totient is φ = 3047116800.

The previous prime is 12562624961. The next prime is 12562624981. The reversal of 12562624980 is 8942626521.

12562624980 is a `hidden beast` number, since 1 + 2 + 562 + 6 + 2 + 4 + 9 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12562624981) 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, 11514235 + ... + 11515325.

It is an arithmetic number, because the mean of its divisors is an integer number (144884376).

Almost surely, 2^12562624980 is an apocalyptic number.

12562624980 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 12562624980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20863350144).

12562624980 is an abundant number, since it is smaller than the sum of its proper divisors (29164075308).

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

12562624980 is a wasteful number, since it uses less digits than its factorization.

12562624980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12562624980 in words is "twelve billion, five hundred sixty-two million, six hundred twenty-four thousand, nine hundred eighty".