25757222400 has 1620 divisors, whose sum is σ = 120410582292. Its totient is φ = 5434490880.

The previous prime is 25757222389. The next prime is 25757222419. The reversal of 25757222400 is 422275752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25757222400 is a `hidden beast` number, since 25 + 7 + 5 + 7 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1981324794 + ... + 1981324806.

Almost surely, 2^25757222400 is an apocalyptic number.

25757222400 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 25757222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60205291146).

25757222400 is an abundant number, since it is smaller than the sum of its proper divisors (94653359892).

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

25757222400 is an equidigital number, since it uses as much as digits as its factorization.

25757222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

It can be divided in two parts, 257572 and 22400, that added together give a palindrome (279972).

The spelling of 25757222400 in words is "twenty-five billion, seven hundred fifty-seven million, two hundred twenty-two thousand, four hundred".