23085129600 has 1440 divisors, whose sum is σ = 100823279040. Its totient is φ = 5175705600.

The previous prime is 23085129593. The next prime is 23085129611. The reversal of 23085129600 is 692158032.

23085129600 is a `hidden beast` number, since 2 + 30 + 8 + 5 + 12 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 744681585 + ... + 744681615.

It is an arithmetic number, because the mean of its divisors is an integer number (70016166).

Almost surely, 2^23085129600 is an apocalyptic number.

23085129600 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 23085129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411639520).

23085129600 is an abundant number, since it is smaller than the sum of its proper divisors (77738149440).

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

23085129600 is a wasteful number, since it uses less digits than its factorization.

23085129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 23085129600 in words is "twenty-three billion, eighty-five million, one hundred twenty-nine thousand, six hundred".