11254034160 has 160 divisors (see below), whose sum is σ = 40014581760. Its totient is φ = 2904249600.

The previous prime is 11254034149. The next prime is 11254034173. The reversal of 11254034160 is 6143045211.

It is a happy number.

11254034160 is a `hidden beast` number, since 11 + 254 + 0 + 341 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17076 + ... + 150995.

It is an arithmetic number, because the mean of its divisors is an integer number (250091136).

Almost surely, 2^11254034160 is an apocalyptic number.

11254034160 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 11254034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007290880).

11254034160 is an abundant number, since it is smaller than the sum of its proper divisors (28760547600).

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

11254034160 is a wasteful number, since it uses less digits than its factorization.

11254034160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168124 (or 168112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11254034160 its reverse (6143045211), we get a palindrome (17397079371).

The spelling of 11254034160 in words is "eleven billion, two hundred fifty-four million, thirty-four thousand, one hundred sixty".