23134935139200 has 672 divisors, whose sum is σ = 90727123962960. Its totient is φ = 5806405140480.

The previous prime is 23134935139171. The next prime is 23134935139201. The reversal of 23134935139200 is 293153943132.

23134935139200 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 49 + 3 + 513 + 92 + 0 + 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 not an unprimeable number, because it can be changed into a prime (23134935139201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39365917 + ... + 39949283.

Almost surely, 2^{23134935139200} is an apocalyptic number.

23134935139200 is a gapful number since it is divisible by the number (20) 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 23134935139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45363561981480).

23134935139200 is an abundant number, since it is smaller than the sum of its proper divisors (67592188823760).

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

23134935139200 is an equidigital number, since it uses as much as digits as its factorization.

23134935139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583426 (or 583394 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 23134935139200 in words is "twenty-three trillion, one hundred thirty-four billion, nine hundred thirty-five million, one hundred thirty-nine thousand, two hundred".