25837484400 has 1080 divisors, whose sum is σ = 118436638320. Its totient is φ = 5155799040.

The previous prime is 25837484327. The next prime is 25837484429. The reversal of 25837484400 is 448473852.

It is a happy number.

25837484400 is a `hidden beast` number, since 25 + 83 + 74 + 84 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43570504 + ... + 43571096.

It is an arithmetic number, because the mean of its divisors is an integer number (109663554).

Almost surely, 2^25837484400 is an apocalyptic number.

25837484400 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 25837484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59218319160).

25837484400 is an abundant number, since it is smaller than the sum of its proper divisors (92599153920).

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

25837484400 is a wasteful number, since it uses less digits than its factorization.

25837484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 25837484400 in words is "twenty-five billion, eight hundred thirty-seven million, four hundred eighty-four thousand, four hundred".