25712941320 has 960 divisors, whose sum is σ = 105907253760. Its totient is φ = 5524070400.

The previous prime is 25712941307. The next prime is 25712941327. The reversal of 25712941320 is 2314921752.

25712941320 is a `hidden beast` number, since 2 + 571 + 29 + 41 + 3 + 20 = 666.

It is a super-2 number, since 2×25712941320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25712941327) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 694944342 + ... + 694944378.

It is an arithmetic number, because the mean of its divisors is an integer number (110320056).

Almost surely, 2^25712941320 is an apocalyptic number.

25712941320 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 25712941320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52953626880).

25712941320 is an abundant number, since it is smaller than the sum of its proper divisors (80194312440).

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

25712941320 is a wasteful number, since it uses less digits than its factorization.

25712941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25712941320 in words is "twenty-five billion, seven hundred twelve million, nine hundred forty-one thousand, three hundred twenty".