25286160900 has 864 divisors, whose sum is σ = 104531309568. Its totient is φ = 4630348800.

The previous prime is 25286160857. The next prime is 25286160901. The reversal of 25286160900 is 906168252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25286160901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48348039 + ... + 48348561.

It is an arithmetic number, because the mean of its divisors is an integer number (120985312).

Almost surely, 2^25286160900 is an apocalyptic number.

25286160900 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 25286160900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52265654784).

25286160900 is an abundant number, since it is smaller than the sum of its proper divisors (79245148668).

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

25286160900 is a wasteful number, since it uses less digits than its factorization.

25286160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 25286160900 in words is "twenty-five billion, two hundred eighty-six million, one hundred sixty thousand, nine hundred".