23205791520 has 384 divisors, whose sum is σ = 88780769280. Its totient is φ = 5635768320.

The previous prime is 23205791491. The next prime is 23205791549. The reversal of 23205791520 is 2519750232.

23205791520 is a `hidden beast` number, since 2 + 32 + 0 + 579 + 1 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23205791491) and next prime (23205791549).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2271544 + ... + 2281736.

It is an arithmetic number, because the mean of its divisors is an integer number (231199920).

Almost surely, 2^23205791520 is an apocalyptic number.

23205791520 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 23205791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44390384640).

23205791520 is an abundant number, since it is smaller than the sum of its proper divisors (65574977760).

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

23205791520 is a wasteful number, since it uses less digits than its factorization.

23205791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 23205791520 in words is "twenty-three billion, two hundred five million, seven hundred ninety-one thousand, five hundred twenty".