12482795520 has 768 divisors, whose sum is σ = 50193561600. Its totient is φ = 2919628800.

The previous prime is 12482795477. The next prime is 12482795557. The reversal of 12482795520 is 2559728421.

12482795520 is a `hidden beast` number, since 1 + 24 + 8 + 2 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×12482795520³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82667445 + ... + 82667595.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 2^12482795520 is an apocalyptic number.

12482795520 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 12482795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

12482795520 is an abundant number, since it is smaller than the sum of its proper divisors (37710766080).

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

12482795520 is a wasteful number, since it uses less digits than its factorization.

12482795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12482795520 in words is "twelve billion, four hundred eighty-two million, seven hundred ninety-five thousand, five hundred twenty".