230094572400 has 2160 divisors, whose sum is σ = 1099256071680. Its totient is φ = 45180979200.

The previous prime is 230094572303. The next prime is 230094572417. The reversal of 230094572400 is 4275490032.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4895629177 + ... + 4895629223.

It is an arithmetic number, because the mean of its divisors is an integer number (508914848).

Almost surely, 2^230094572400 is an apocalyptic number.

230094572400 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 230094572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549628035840).

230094572400 is an abundant number, since it is smaller than the sum of its proper divisors (869161499280).

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

230094572400 is a wasteful number, since it uses less digits than its factorization.

230094572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 230094572400 in words is "two hundred thirty billion, ninety-four million, five hundred seventy-two thousand, four hundred".