25213941760 has 288 divisors, whose sum is σ = 72691032960. Its totient is φ = 8360755200.

The previous prime is 25213941689. The next prime is 25213941787. The reversal of 25213941760 is 6714931252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15553750 + ... + 15555370.

It is an arithmetic number, because the mean of its divisors is an integer number (252399420).

Almost surely, 2^25213941760 is an apocalyptic number.

25213941760 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 25213941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36345516480).

25213941760 is an abundant number, since it is smaller than the sum of its proper divisors (47477091200).

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

25213941760 is a wasteful number, since it uses less digits than its factorization.

25213941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 25213941760 in words is "twenty-five billion, two hundred thirteen million, nine hundred forty-one thousand, seven hundred sixty".