24573481920 has 896 divisors, whose sum is σ = 98394804480. Its totient is φ = 5804752896.

The previous prime is 24573481871. The next prime is 24573481921. The reversal of 24573481920 is 2918437542.

24573481920 is a `hidden beast` number, since 2 + 4 + 573 + 48 + 19 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24573481921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336623004 + ... + 336623076.

It is an arithmetic number, because the mean of its divisors is an integer number (109815630).

Almost surely, 2^24573481920 is an apocalyptic number.

24573481920 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 24573481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197402240).

24573481920 is an abundant number, since it is smaller than the sum of its proper divisors (73821322560).

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

24573481920 is an equidigital number, since it uses as much as digits as its factorization.

24573481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 24573481920 in words is "twenty-four billion, five hundred seventy-three million, four hundred eighty-one thousand, nine hundred twenty".