23785799040 has 960 divisors, whose sum is σ = 94798408320. Its totient is φ = 5673369600.

The previous prime is 23785799017. The next prime is 23785799047. The reversal of 23785799040 is 4099758732.

23785799040 is a `hidden beast` number, since 23 + 7 + 8 + 579 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23785799047) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 580141420 + ... + 580141460.

It is an arithmetic number, because the mean of its divisors is an integer number (98748342).

Almost surely, 2^23785799040 is an apocalyptic number.

23785799040 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 23785799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399204160).

23785799040 is an abundant number, since it is smaller than the sum of its proper divisors (71012609280).

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

23785799040 is a wasteful number, since it uses less digits than its factorization.

23785799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 23785799040 in words is "twenty-three billion, seven hundred eighty-five million, seven hundred ninety-nine thousand, forty".