25950545510400 has 2736 divisors, whose sum is σ = 115171928837280. Its totient is φ = 5707608883200.

The previous prime is 25950545510317. The next prime is 25950545510429. The reversal of 25950545510400 is 401554505952.

25950545510400 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 0 + 54 + 551 + 0 + 40 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355486924764 + ... + 355486924836.

It is an arithmetic number, because the mean of its divisors is an integer number (42095003230).

Almost surely, 2^{25950545510400} is an apocalyptic number.

25950545510400 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 25950545510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57585964418640).

25950545510400 is an abundant number, since it is smaller than the sum of its proper divisors (89221383326880).

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

25950545510400 is an frugal number, since it uses more digits than its factorization.

25950545510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 25950545510400 in words is "twenty-five trillion, nine hundred fifty billion, five hundred forty-five million, five hundred ten thousand, four hundred".