13079846430 has 384 divisors, whose sum is σ = 42771456000. Its totient is φ = 2706048000.

The previous prime is 13079846401. The next prime is 13079846489. The reversal of 13079846430 is 3464897031.

13079846430 is a `hidden beast` number, since 130 + 7 + 9 + 84 + 6 + 430 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37477896 + ... + 37478244.

It is an arithmetic number, because the mean of its divisors is an integer number (111384000).

Almost surely, 2^13079846430 is an apocalyptic number.

13079846430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13079846430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

13079846430 is an abundant number, since it is smaller than the sum of its proper divisors (29691609570).

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

13079846430 is a wasteful number, since it uses less digits than its factorization.

13079846430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13079846430 in words is "thirteen billion, seventy-nine million, eight hundred forty-six thousand, four hundred thirty".