23085734400 has 480 divisors, whose sum is σ = 86086841280. Its totient is φ = 6058229760.

The previous prime is 23085734383. The next prime is 23085734417. The reversal of 23085734400 is 443758032.

It is a happy number.

23085734400 is a `hidden beast` number, since 2 + 308 + 5 + 7 + 344 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23085734383) and next prime (23085734417).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×23085734400² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23154702 + ... + 23155698.

It is an arithmetic number, because the mean of its divisors is an integer number (179347586).

Almost surely, 2^23085734400 is an apocalyptic number.

23085734400 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 23085734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43043420640).

23085734400 is an abundant number, since it is smaller than the sum of its proper divisors (63001106880).

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

23085734400 is an equidigital number, since it uses as much as digits as its factorization.

23085734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23085734400 in words is "twenty-three billion, eighty-five million, seven hundred thirty-four thousand, four hundred".