25837622400 has 192 divisors, whose sum is σ = 85301147520. Its totient is φ = 6873968640.

The previous prime is 25837622389. The next prime is 25837622407. The reversal of 25837622400 is 422673852.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (25837622407) 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, 4441894 + ... + 4447706.

It is an arithmetic number, because the mean of its divisors is an integer number (444276810).

Almost surely, 2^25837622400 is an apocalyptic number.

25837622400 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 25837622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42650573760).

25837622400 is an abundant number, since it is smaller than the sum of its proper divisors (59463525120).

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

25837622400 is a wasteful number, since it uses less digits than its factorization.

25837622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 25837622400 in words is "twenty-five billion, eight hundred thirty-seven million, six hundred twenty-two thousand, four hundred".