25050406400 has 120 divisors (see below), whose sum is σ = 63083753304. Its totient is φ = 9855590400.

The previous prime is 25050406397. The next prime is 25050406429. The reversal of 25050406400 is 460405052.

It is a self number, because there is not a number n which added to its sum of digits gives 25050406400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764759 + ... + 796841.

Almost surely, 2^25050406400 is an apocalyptic number.

25050406400 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 25050406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31541876652).

25050406400 is an abundant number, since it is smaller than the sum of its proper divisors (38033346904).

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

25050406400 is an equidigital number, since it uses as much as digits as its factorization.

25050406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32172 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 25050406400 in words is "twenty-five billion, fifty million, four hundred six thousand, four hundred".