23129073745920 has 1024 divisors, whose sum is σ = 88171019683200. Its totient is φ = 5803415175168.

The previous prime is 23129073745913. The next prime is 23129073745957. The reversal of 23129073745920 is 2954737092132.

23129073745920 is a `hidden beast` number, since 2 + 3 + 12 + 9 + 0 + 7 + 37 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6091405462 + ... + 6091409258.

Almost surely, 2^{23129073745920} is an apocalyptic number.

23129073745920 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 23129073745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44085509841600).

23129073745920 is an abundant number, since it is smaller than the sum of its proper divisors (65041945937280).

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

23129073745920 is an frugal number, since it uses more digits than its factorization.

23129073745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 23129073745920 in words is "twenty-three trillion, one hundred twenty-nine billion, seventy-three million, seven hundred forty-five thousand, nine hundred twenty".