23753730000 has 1200 divisors, whose sum is σ = 105721108416. Its totient is φ = 4515840000.

The previous prime is 23753729999. The next prime is 23753730101. The reversal of 23753730000 is 3735732.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 23753730000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 210209944 + ... + 210210056.

Almost surely, 2^23753730000 is an apocalyptic number.

23753730000 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 23753730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52860554208).

23753730000 is an abundant number, since it is smaller than the sum of its proper divisors (81967378416).

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

23753730000 is a wasteful number, since it uses less digits than its factorization.

23753730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 30.

The spelling of 23753730000 in words is "twenty-three billion, seven hundred fifty-three million, seven hundred thirty thousand".