23628250800 has 1620 divisors, whose sum is σ = 111378293208. Its totient is φ = 4790016000.

The previous prime is 23628250781. The next prime is 23628250829. The reversal of 23628250800 is 805282632.

23628250800 is a `hidden beast` number, since 2 + 3 + 628 + 25 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 576298780 + ... + 576298820.

Almost surely, 2^23628250800 is an apocalyptic number.

23628250800 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 23628250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55689146604).

23628250800 is an abundant number, since it is smaller than the sum of its proper divisors (87750042408).

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

23628250800 is a wasteful number, since it uses less digits than its factorization.

23628250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23628250800 in words is "twenty-three billion, six hundred twenty-eight million, two hundred fifty thousand, eight hundred".