10254024400 has 60 divisors (see below), whose sum is σ = 24646190400. Its totient is φ = 4099795840.

The previous prime is 10254024397. The next prime is 10254024401. The reversal of 10254024400 is 442045201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254024401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243491 + ... + 1251709.

It is an arithmetic number, because the mean of its divisors is an integer number (410769840).

Almost surely, 2^10254024400 is an apocalyptic number.

10254024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10254024400 is an abundant number, since it is smaller than the sum of its proper divisors (14392166000).

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

10254024400 is a wasteful number, since it uses less digits than its factorization.

10254024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10254024400 its reverse (442045201), we get a palindrome (10696069601).

The spelling of 10254024400 in words is "ten billion, two hundred fifty-four million, twenty-four thousand, four hundred".