10250211114400 has 72 divisors (see below), whose sum is σ = 26111298707424. Its totient is φ = 3921819897600.

The previous prime is 10250211114391. The next prime is 10250211114431. The reversal of 10250211114400 is 441111205201.

It is a happy 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, 278519946 + ... + 278556745.

It is an arithmetic number, because the mean of its divisors is an integer number (362656926492).

Almost surely, 2^{10250211114400} is an apocalyptic number.

10250211114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10250211114400 is an abundant number, since it is smaller than the sum of its proper divisors (15861087593024).

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

10250211114400 is a wasteful number, since it uses less digits than its factorization.

10250211114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557076734 (or 557076721 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 10250211114400 its reverse (441111205201), we get a palindrome (10691322319601).

The spelling of 10250211114400 in words is "ten trillion, two hundred fifty billion, two hundred eleven million, one hundred fourteen thousand, four hundred".