23880709440 has 448 divisors, whose sum is σ = 97874449920. Its totient is φ = 5368135680.

The previous prime is 23880709351. The next prime is 23880709441. The reversal of 23880709440 is 4490708832.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×23880709440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23880709441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3686044 + ... + 3692516.

Almost surely, 2^23880709440 is an apocalyptic number.

23880709440 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 23880709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48937224960).

23880709440 is an abundant number, since it is smaller than the sum of its proper divisors (73993740480).

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

23880709440 is a wasteful number, since it uses less digits than its factorization.

23880709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 23880709440 in words is "twenty-three billion, eight hundred eighty million, seven hundred nine thousand, four hundred forty".