23728455683520 has 448 divisors, whose sum is σ = 89980611747840. Its totient is φ = 5179941752832.

The previous prime is 23728455683507. The next prime is 23728455683599. The reversal of 23728455683520 is 2538655482732.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101738559 + ... + 101971521.

Almost surely, 2^{23728455683520} is an apocalyptic number.

23728455683520 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 23728455683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44990305873920).

23728455683520 is an abundant number, since it is smaller than the sum of its proper divisors (66252156064320).

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

23728455683520 is a wasteful number, since it uses less digits than its factorization.

23728455683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233672 (or 233662 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 60.

The spelling of 23728455683520 in words is "twenty-three trillion, seven hundred twenty-eight billion, four hundred fifty-five million, six hundred eighty-three thousand, five hundred twenty".