23605140960 has 384 divisors, whose sum is σ = 89781350400. Its totient is φ = 5770414080.

The previous prime is 23605140947. The next prime is 23605140983. The reversal of 23605140960 is 6904150632.

It is a happy number.

23605140960 is a `hidden beast` number, since 2 + 3 + 605 + 1 + 40 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2539842 + ... + 2549118.

It is an arithmetic number, because the mean of its divisors is an integer number (233805600).

Almost surely, 2^23605140960 is an apocalyptic number.

23605140960 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 23605140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44890675200).

23605140960 is an abundant number, since it is smaller than the sum of its proper divisors (66176209440).

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

23605140960 is a wasteful number, since it uses less digits than its factorization.

23605140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23605140960 in words is "twenty-three billion, six hundred five million, one hundred forty thousand, nine hundred sixty".