23868937766240 has 576 divisors, whose sum is σ = 71588313216000. Its totient is φ = 7351723720704.

The previous prime is 23868937766231. The next prime is 23868937766287. The reversal of 23868937766240 is 4266773986832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3789318611 + ... + 3789324909.

It is an arithmetic number, because the mean of its divisors is an integer number (124285266000).

Almost surely, 2^{23868937766240} is an apocalyptic number.

23868937766240 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 23868937766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35794156608000).

23868937766240 is an abundant number, since it is smaller than the sum of its proper divisors (47719375449760).

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

23868937766240 is a wasteful number, since it uses less digits than its factorization.

23868937766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 71.

The spelling of 23868937766240 in words is "twenty-three trillion, eight hundred sixty-eight billion, nine hundred thirty-seven million, seven hundred sixty-six thousand, two hundred forty".