10253766444400 has 120 divisors (see below), whose sum is σ = 25057301587200. Its totient is φ = 4031170195200.

The previous prime is 10253766444373. The next prime is 10253766444421. The reversal of 10253766444400 is 444466735201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123410071 + ... + 123493129.

It is an arithmetic number, because the mean of its divisors is an integer number (208810846560).

Almost surely, 2^{10253766444400} is an apocalyptic number.

10253766444400 is a gapful number since it is divisible by the number (10) 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 10253766444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528650793600).

10253766444400 is an abundant number, since it is smaller than the sum of its proper divisors (14803535142800).

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

10253766444400 is a wasteful number, since it uses less digits than its factorization.

10253766444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88367 (or 88356 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 10253766444400 in words is "ten trillion, two hundred fifty-three billion, seven hundred sixty-six million, four hundred forty-four thousand, four hundred".