23897786400 has 648 divisors, whose sum is σ = 91100302020. Its totient is φ = 6113802240.

The previous prime is 23897786387. The next prime is 23897786417. The reversal of 23897786400 is 468779832.

It can be written as a sum of positive squares in 6 ways, for example, as 6508616976 + 17389169424 = 80676^2 + 131868^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×23897786400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152215122 + ... + 152215278.

Almost surely, 2^23897786400 is an apocalyptic number.

23897786400 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 23897786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45550151010).

23897786400 is an abundant number, since it is smaller than the sum of its proper divisors (67202515620).

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

23897786400 is an equidigital number, since it uses as much as digits as its factorization.

23897786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 23897786400 in words is "twenty-three billion, eight hundred ninety-seven million, seven hundred eighty-six thousand, four hundred".