25345172400 has 120 divisors (see below), whose sum is σ = 82721111760. Its totient is φ = 6631173120.

The previous prime is 25345172371. The next prime is 25345172407. The reversal of 25345172400 is 427154352.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (25345172407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135655 + ... + 262854.

It is an arithmetic number, because the mean of its divisors is an integer number (689342598).

Almost surely, 2^25345172400 is an apocalyptic number.

25345172400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25345172400 is an abundant number, since it is smaller than the sum of its proper divisors (57375939360).

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

25345172400 is a wasteful number, since it uses less digits than its factorization.

25345172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398583 (or 398572 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 25345172400 in words is "twenty-five billion, three hundred forty-five million, one hundred seventy-two thousand, four hundred".