25009884900 has 1728 divisors, whose sum is σ = 117928452096. Its totient is φ = 4257792000.

The previous prime is 25009884871. The next prime is 25009884901. The reversal of 25009884900 is 948890052.

It is a super-2 number, since 2×25009884900² (a number of 22 digits) contains 22 as substring.

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 (25009884901) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 352251865 + ... + 352251935.

It is an arithmetic number, because the mean of its divisors is an integer number (68245632).

Almost surely, 2^25009884900 is an apocalyptic number.

25009884900 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 25009884900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58964226048).

25009884900 is an abundant number, since it is smaller than the sum of its proper divisors (92918567196).

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

25009884900 is a wasteful number, since it uses less digits than its factorization.

25009884900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 25009 and 884900, that added together give a palindrome (909909).

The spelling of 25009884900 in words is "twenty-five billion, nine million, eight hundred eighty-four thousand, nine hundred".