923875243200 has 3780 divisors, whose sum is σ = 4634774730432. Its totient is φ = 178711142400.

The previous prime is 923875243183. The next prime is 923875243201. The reversal of 923875243200 is 2342578329.

923875243200 is a `hidden beast` number, since 9 + 2 + 387 + 5 + 243 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (923875243201) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 29802427185 + ... + 29802427215.

Almost surely, 2^923875243200 is an apocalyptic number.

923875243200 is a gapful number since it is divisible by the number (90) 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 923875243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317387365216).

923875243200 is an abundant number, since it is smaller than the sum of its proper divisors (3710899487232).

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

923875243200 is a wasteful number, since it uses less digits than its factorization.

923875243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 923875243200 in words is "nine hundred twenty-three billion, eight hundred seventy-five million, two hundred forty-three thousand, two hundred".