23621126400 has 648 divisors, whose sum is σ = 88963056000. Its totient is φ = 5971230720.

The previous prime is 23621126393. The next prime is 23621126411. The reversal of 23621126400 is 462112632.

23621126400 is a `hidden beast` number, since 2 + 3 + 6 + 2 + 1 + 12 + 640 + 0 = 666.

It is a super-3 number, since 3×23621126400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 131961511 + ... + 131961689.

Almost surely, 2^23621126400 is an apocalyptic number.

23621126400 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 23621126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44481528000).

23621126400 is an abundant number, since it is smaller than the sum of its proper divisors (65341929600).

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

23621126400 is a wasteful number, since it uses less digits than its factorization.

23621126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23621126400 in words is "twenty-three billion, six hundred twenty-one million, one hundred twenty-six thousand, four hundred".