10254411200 has 126 divisors (see below), whose sum is σ = 27735157128. Its totient is φ = 3728806400.

The previous prime is 10254411191. The next prime is 10254411263. The reversal of 10254411200 is 211445201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167117 + ... + 220083.

Almost surely, 2^10254411200 is an apocalyptic number.

10254411200 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 10254411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867578564).

10254411200 is an abundant number, since it is smaller than the sum of its proper divisors (17480745928).

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

10254411200 is a wasteful number, since it uses less digits than its factorization.

10254411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53011 (or 52985 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10254411200 its reverse (211445201), we get a palindrome (10465856401).

The spelling of 10254411200 in words is "ten billion, two hundred fifty-four million, four hundred eleven thousand, two hundred".