12479290560 has 672 divisors, whose sum is σ = 49207302144. Its totient is φ = 2875392000.

The previous prime is 12479290547. The next prime is 12479290601. The reversal of 12479290560 is 6509297421.

12479290560 is a `hidden beast` number, since 12 + 4 + 79 + 2 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×12479290560² (a number of 21 digits) contains 22 as substring.

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, 95261695 + ... + 95261825.

It is an arithmetic number, because the mean of its divisors is an integer number (73225152).

Almost surely, 2^12479290560 is an apocalyptic number.

12479290560 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 12479290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603651072).

12479290560 is an abundant number, since it is smaller than the sum of its proper divisors (36728011584).

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

12479290560 is a wasteful number, since it uses less digits than its factorization.

12479290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12479290560 in words is "twelve billion, four hundred seventy-nine million, two hundred ninety thousand, five hundred sixty".