25301274720 has 96 divisors (see below), whose sum is σ = 80050457088. Its totient is φ = 6717255168.

The previous prime is 25301274653. The next prime is 25301274749. The reversal of 25301274720 is 2747210352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25301274720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144 + ... + 225063.

It is an arithmetic number, because the mean of its divisors is an integer number (833858928).

Almost surely, 2^25301274720 is an apocalyptic number.

25301274720 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 25301274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40025228544).

25301274720 is an abundant number, since it is smaller than the sum of its proper divisors (54749182368).

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

25301274720 is a wasteful number, since it uses less digits than its factorization.

25301274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232452 (or 232444 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 25301274720 in words is "twenty-five billion, three hundred one million, two hundred seventy-four thousand, seven hundred twenty".