24928270560 has 768 divisors, whose sum is σ = 96729292800. Its totient is φ = 5971968000.

The previous prime is 24928270489. The next prime is 24928270561. The reversal of 24928270560 is 6507282942.

24928270560 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 82 + 7 + 0 + 560 = 666.

It is a super-2 number, since 2×24928270560² (a number of 22 digits) contains 22 as substring.

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 (24928270561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 246814510 + ... + 246814610.

It is an arithmetic number, because the mean of its divisors is an integer number (125949600).

Almost surely, 2^24928270560 is an apocalyptic number.

24928270560 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 24928270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48364646400).

24928270560 is an abundant number, since it is smaller than the sum of its proper divisors (71801022240).

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

24928270560 is a wasteful number, since it uses less digits than its factorization.

24928270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

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

The spelling of 24928270560 in words is "twenty-four billion, nine hundred twenty-eight million, two hundred seventy thousand, five hundred sixty".