23962268400 has 480 divisors, whose sum is σ = 95899004928. Its totient is φ = 4987699200.

The previous prime is 23962268389. The next prime is 23962268423. The reversal of 23962268400 is 486226932.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4424094 + ... + 4429506.

Almost surely, 2^23962268400 is an apocalyptic number.

23962268400 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 23962268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47949502464).

23962268400 is an abundant number, since it is smaller than the sum of its proper divisors (71936736528).

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

23962268400 is a wasteful number, since it uses less digits than its factorization.

23962268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 23962268400 in words is "twenty-three billion, nine hundred sixty-two million, two hundred sixty-eight thousand, four hundred".