23985124800 has 672 divisors, whose sum is σ = 99180652032. Its totient is φ = 4939038720.

The previous prime is 23985124777. The next prime is 23985124811. The reversal of 23985124800 is 842158932.

It is a tau number, because it is divible by the number of its divisors (672).

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, 18781762 + ... + 18783038.

It is an arithmetic number, because the mean of its divisors is an integer number (147590256).

Almost surely, 2^23985124800 is an apocalyptic number.

23985124800 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 23985124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49590326016).

23985124800 is an abundant number, since it is smaller than the sum of its proper divisors (75195527232).

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

23985124800 is a wasteful number, since it uses less digits than its factorization.

23985124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

It can be divided in two parts, 23985 and 124800, that added together give a triangular number (148785 = T₅₄₅).

The spelling of 23985124800 in words is "twenty-three billion, nine hundred eighty-five million, one hundred twenty-four thousand, eight hundred".