24725729952 has 768 divisors, whose sum is σ = 97851801600. Its totient is φ = 5878656000.

The previous prime is 24725729923. The next prime is 24725729957. The reversal of 24725729952 is 25992752742.

It is a super-2 number, since 2×24725729952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (24725729957) 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, 39184677 + ... + 39185307.

It is an arithmetic number, because the mean of its divisors is an integer number (127411200).

Almost surely, 2^24725729952 is an apocalyptic number.

24725729952 is a gapful number since it is divisible by the number (22) 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 24725729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48925900800).

24725729952 is an abundant number, since it is smaller than the sum of its proper divisors (73126071648).

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

24725729952 is a wasteful number, since it uses less digits than its factorization.

24725729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 24725729952 in words is "twenty-four billion, seven hundred twenty-five million, seven hundred twenty-nine thousand, nine hundred fifty-two".