12933735750 has 448 divisors, whose sum is σ = 40218062976. Its totient is φ = 3093292800.

The previous prime is 12933735733. The next prime is 12933735761. The reversal of 12933735750 is 5753733921.

12933735750 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 73 + 575 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12933735696 and 12933735705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 125570199 + ... + 125570301.

It is an arithmetic number, because the mean of its divisors is an integer number (89772462).

Almost surely, 2^12933735750 is an apocalyptic number.

12933735750 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 12933735750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109031488).

12933735750 is an abundant number, since it is smaller than the sum of its proper divisors (27284327226).

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

12933735750 is a wasteful number, since it uses less digits than its factorization.

12933735750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 12933735750 in words is "twelve billion, nine hundred thirty-three million, seven hundred thirty-five thousand, seven hundred fifty".