23749066608960 has 672 divisors, whose sum is σ = 95467737415680. Its totient is φ = 4895992442880.

The previous prime is 23749066608919. The next prime is 23749066609003. The reversal of 23749066608960 is 6980666094732.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 23749066608891 and 23749066608900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103151251 + ... + 103381229.

It is an arithmetic number, because the mean of its divisors is an integer number (142065085440).

Almost surely, 2^{23749066608960} is an apocalyptic number.

23749066608960 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 23749066608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47733868707840).

23749066608960 is an abundant number, since it is smaller than the sum of its proper divisors (71718670806720).

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

23749066608960 is a wasteful number, since it uses less digits than its factorization.

23749066608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230155 (or 230134 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 23749066608960 in words is "twenty-three trillion, seven hundred forty-nine billion, sixty-six million, six hundred eight thousand, nine hundred sixty".