23025733760 has 128 divisors (see below), whose sum is σ = 55792661760. Its totient is φ = 9086238720.

The previous prime is 23025733729. The next prime is 23025733789. The reversal of 23025733760 is 6733752032.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16180409 + ... + 16181831.

It is an arithmetic number, because the mean of its divisors is an integer number (435880170).

Almost surely, 2^23025733760 is an apocalyptic number.

23025733760 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 23025733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896330880).

23025733760 is an abundant number, since it is smaller than the sum of its proper divisors (32766928000).

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

23025733760 is a wasteful number, since it uses less digits than its factorization.

23025733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 38.

The spelling of 23025733760 in words is "twenty-three billion, twenty-five million, seven hundred thirty-three thousand, seven hundred sixty".