23648801520 has 80 divisors (see below), whose sum is σ = 73420077600. Its totient is φ = 6296988672.

The previous prime is 23648801467. The next prime is 23648801521. The reversal of 23648801520 is 2510884632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648801521) by changing a digit.

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, 89706 + ... + 235254.

It is an arithmetic number, because the mean of its divisors is an integer number (917750970).

Almost surely, 2^23648801520 is an apocalyptic number.

23648801520 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 23648801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36710038800).

23648801520 is an abundant number, since it is smaller than the sum of its proper divisors (49771276080).

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

23648801520 is a wasteful number, since it uses less digits than its factorization.

23648801520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146242 (or 146236 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

It can be divided in two parts, 2364880 and 1520, that added together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 23648801520 in words is "twenty-three billion, six hundred forty-eight million, eight hundred one thousand, five hundred twenty".