10254011200 has 168 divisors, whose sum is σ = 27014119200. Its totient is φ = 3819202560.

The previous prime is 10254011191. The next prime is 10254011213. The reversal of 10254011200 is 211045201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790742 + ... + 1796458.

Almost surely, 2^10254011200 is an apocalyptic number.

10254011200 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 10254011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507059600).

10254011200 is an abundant number, since it is smaller than the sum of its proper divisors (16760108000).

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

10254011200 is a wasteful number, since it uses less digits than its factorization.

10254011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10254011200 its reverse (211045201), we get a palindrome (10465056401).

The spelling of 10254011200 in words is "ten billion, two hundred fifty-four million, eleven thousand, two hundred".