12658533930 has 512 divisors, whose sum is σ = 42152140800. Its totient is φ = 2641766400.

The previous prime is 12658533907. The next prime is 12658533941. The reversal of 12658533930 is 3933585621.

It is a happy number.

12658533930 is a `hidden beast` number, since 1 + 2 + 6 + 585 + 3 + 39 + 30 = 666.

It is a super-2 number, since 2×12658533930² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96629965 + ... + 96630095.

It is an arithmetic number, because the mean of its divisors is an integer number (82328400).

Almost surely, 2^12658533930 is an apocalyptic number.

12658533930 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 12658533930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

12658533930 is an abundant number, since it is smaller than the sum of its proper divisors (29493606870).

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

12658533930 is a wasteful number, since it uses less digits than its factorization.

12658533930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 12658533930 in words is "twelve billion, six hundred fifty-eight million, five hundred thirty-three thousand, nine hundred thirty".