12993235920 has 600 divisors, whose sum is σ = 53037819648. Its totient is φ = 2939328000.

The previous prime is 12993235919. The next prime is 12993235979. The reversal of 12993235920 is 2953239921.

12993235920 is a `hidden beast` number, since 1 + 29 + 9 + 32 + 3 + 592 + 0 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47945385 + ... + 47945655.

Almost surely, 2^12993235920 is an apocalyptic number.

12993235920 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 12993235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26518909824).

12993235920 is an abundant number, since it is smaller than the sum of its proper divisors (40044583728).

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

12993235920 is a wasteful number, since it uses less digits than its factorization.

12993235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12993235920 in words is "twelve billion, nine hundred ninety-three million, two hundred thirty-five thousand, nine hundred twenty".