23835732480 has 720 divisors, whose sum is σ = 98460689184. Its totient is φ = 5310627840.

The previous prime is 23835732463. The next prime is 23835732509. The reversal of 23835732480 is 8423753832.

23835732480 is a `hidden beast` number, since 2 + 38 + 3 + 573 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 48545035 + ... + 48545525.

Almost surely, 2^23835732480 is an apocalyptic number.

23835732480 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 23835732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230344592).

23835732480 is an abundant number, since it is smaller than the sum of its proper divisors (74624956704).

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

23835732480 is a wasteful number, since it uses less digits than its factorization.

23835732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 23835732480 in words is "twenty-three billion, eight hundred thirty-five million, seven hundred thirty-two thousand, four hundred eighty".