25301478930 has 192 divisors, whose sum is σ = 79394031360. Its totient is φ = 5024157696.

The previous prime is 25301478907. The next prime is 25301478967. The reversal of 25301478930 is 3987410352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772936 + ... + 805004.

It is an arithmetic number, because the mean of its divisors is an integer number (413510580).

Almost surely, 2^25301478930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25301478930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39697015680).

25301478930 is an abundant number, since it is smaller than the sum of its proper divisors (54092552430).

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

25301478930 is a wasteful number, since it uses less digits than its factorization.

25301478930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32133 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 25301478930 in words is "twenty-five billion, three hundred one million, four hundred seventy-eight thousand, nine hundred thirty".