24125980960 has 144 divisors (see below), whose sum is σ = 58814453376. Its totient is φ = 9351936000.

The previous prime is 24125980951. The next prime is 24125980961. The reversal of 24125980960 is 6908952142.

It is a self number, because there is not a number n which added to its sum of digits gives 24125980960.

It is not an unprimeable number, because it can be changed into a prime (24125980961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72887995 + ... + 72888325.

It is an arithmetic number, because the mean of its divisors is an integer number (408433704).

Almost surely, 2^24125980960 is an apocalyptic number.

24125980960 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 24125980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29407226688).

24125980960 is an abundant number, since it is smaller than the sum of its proper divisors (34688472416).

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

24125980960 is a wasteful number, since it uses less digits than its factorization.

24125980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 24125980960 in words is "twenty-four billion, one hundred twenty-five million, nine hundred eighty thousand, nine hundred sixty".