12624510080 has 512 divisors, whose sum is σ = 40419025920. Its totient is φ = 3656908800.

The previous prime is 12624510061. The next prime is 12624510083. The reversal of 12624510080 is 8001542621.

It is not an unprimeable number, because it can be changed into a prime (12624510083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40593125 + ... + 40593435.

It is an arithmetic number, because the mean of its divisors is an integer number (78943410).

Almost surely, 2^12624510080 is an apocalyptic number.

12624510080 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 12624510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960).

12624510080 is an abundant number, since it is smaller than the sum of its proper divisors (27794515840).

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

12624510080 is a wasteful number, since it uses less digits than its factorization.

12624510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 12624510080 in words is "twelve billion, six hundred twenty-four million, five hundred ten thousand, eighty".