11253451410 has 96 divisors (see below), whose sum is σ = 31488221232. Its totient is φ = 2778071040.

The previous prime is 11253451381. The next prime is 11253451441. The reversal of 11253451410 is 1415435211.

11253451410 is a `hidden beast` number, since 112 + 5 + 34 + 514 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1146567321 + 10106884089 = 33861^2 + 100533^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33042 + ... + 153618.

Almost surely, 2^11253451410 is an apocalyptic number.

11253451410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253451410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744110616).

11253451410 is an abundant number, since it is smaller than the sum of its proper divisors (20234769822).

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

11253451410 is a wasteful number, since it uses less digits than its factorization.

11253451410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120668 (or 120665 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11253451410 its reverse (1415435211), we get a palindrome (12668886621).

The spelling of 11253451410 in words is "eleven billion, two hundred fifty-three million, four hundred fifty-one thousand, four hundred ten".