23168620800 has 324 divisors, whose sum is σ = 89207704404. Its totient is φ = 5702860800.

The previous prime is 23168620789. The next prime is 23168620807. The reversal of 23168620800 is 802686132.

23168620800 is a `hidden beast` number, since 23 + 1 + 6 + 8 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4362338304 + 18806282496 = 66048^2 + 137136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23168620807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733330 + ... + 764270.

It is an arithmetic number, because the mean of its divisors is an integer number (275332421).

Almost surely, 2^23168620800 is an apocalyptic number.

23168620800 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 23168620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44603852202).

23168620800 is an abundant number, since it is smaller than the sum of its proper divisors (66039083604).

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

23168620800 is a wasteful number, since it uses less digits than its factorization.

23168620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30986 (or 30964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23168620800 in words is "twenty-three billion, one hundred sixty-eight million, six hundred twenty thousand, eight hundred".