25985100 has 72 divisors (see below), whose sum is σ = 77248528. Its totient is φ = 6739200.

The previous prime is 25985087. The next prime is 25985107. The reversal of 25985100 is 158952.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25985107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9930 + ... + 12270.

Almost surely, 2^25985100 is an apocalyptic number.

25985100 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 25985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624264).

25985100 is an abundant number, since it is smaller than the sum of its proper divisors (51263428).

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

25985100 is a wasteful number, since it uses less digits than its factorization.

25985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 25985100 is about 5097.5582390003. The cubic root of 25985100 is about 296.1930047559.

The spelling of 25985100 in words is "twenty-five million, nine hundred eighty-five thousand, one hundred".