23829564096 has 448 divisors, whose sum is σ = 82021273600. Its totient is φ = 6718464000.

The previous prime is 23829564067. The next prime is 23829564119. The reversal of 23829564096 is 69046592832.

It is a happy number.

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

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, 13230396 + ... + 13232196.

It is an arithmetic number, because the mean of its divisors is an integer number (183083200).

Almost surely, 2^23829564096 is an apocalyptic number.

23829564096 is a gapful number since it is divisible by the number (26) 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 23829564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41010636800).

23829564096 is an abundant number, since it is smaller than the sum of its proper divisors (58191709504).

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

23829564096 is a wasteful number, since it uses less digits than its factorization.

23829564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 23829564096 in words is "twenty-three billion, eight hundred twenty-nine million, five hundred sixty-four thousand, ninety-six".