23829546240 has 432 divisors, whose sum is σ = 86782026240. Its totient is φ = 6028738560.

The previous prime is 23829546157. The next prime is 23829546253. The reversal of 23829546240 is 4264592832.

23829546240 is a `hidden beast` number, since 2 + 3 + 82 + 9 + 546 + 24 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18926731 + ... + 18927989.

It is an arithmetic number, because the mean of its divisors is an integer number (200884320).

Almost surely, 2^23829546240 is an apocalyptic number.

23829546240 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 23829546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43391013120).

23829546240 is an abundant number, since it is smaller than the sum of its proper divisors (62952480000).

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

23829546240 is a wasteful number, since it uses less digits than its factorization.

23829546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23829546240 in words is "twenty-three billion, eight hundred twenty-nine million, five hundred forty-six thousand, two hundred forty".