25248869100 has 288 divisors, whose sum is σ = 99903050240. Its totient is φ = 5327182080.

The previous prime is 25248869099. The next prime is 25248869101. The reversal of 25248869100 is 196884252.

25248869100 is a `hidden beast` number, since 2 + 5 + 2 + 488 + 69 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (25248869099) and next prime (25248869101).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25248869101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194319 + ... + 297081.

Almost surely, 2^25248869100 is an apocalyptic number.

25248869100 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 25248869100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49951525120).

25248869100 is an abundant number, since it is smaller than the sum of its proper divisors (74654181140).

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

25248869100 is a wasteful number, since it uses less digits than its factorization.

25248869100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102806 (or 102793 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25248869100 in words is "twenty-five billion, two hundred forty-eight million, eight hundred sixty-nine thousand, one hundred".