13082624280 has 384 divisors, whose sum is σ = 49416756480. Its totient is φ = 3084894720.

The previous prime is 13082624239. The next prime is 13082624297. The reversal of 13082624280 is 8242628031.

13082624280 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 624 + 28 + 0 = 666.

It is a super-3 number, since 3×13082624280³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3954387 + ... + 3957693.

It is an arithmetic number, because the mean of its divisors is an integer number (128689470).

Almost surely, 2^13082624280 is an apocalyptic number.

13082624280 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 13082624280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708378240).

13082624280 is an abundant number, since it is smaller than the sum of its proper divisors (36334132200).

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

13082624280 is a wasteful number, since it uses less digits than its factorization.

13082624280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13082624280 in words is "thirteen billion, eighty-two million, six hundred twenty-four thousand, two hundred eighty".