23852577040320 has 448 divisors, whose sum is σ = 88143244185600. Its totient is φ = 5352057815040.

The previous prime is 23852577040291. The next prime is 23852577040393. The reversal of 23852577040320 is 2304077525832.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23852577040320.

It is a congruent number.

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, 208592121 + ... + 208706439.

Almost surely, 2^{23852577040320} is an apocalyptic number.

23852577040320 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 23852577040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44071622092800).

23852577040320 is an abundant number, since it is smaller than the sum of its proper divisors (64290667145280).

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

23852577040320 is a wasteful number, since it uses less digits than its factorization.

23852577040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114916 (or 114906 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 23852577040320 in words is "twenty-three trillion, eight hundred fifty-two billion, five hundred seventy-seven million, forty thousand, three hundred twenty".