11253458160 has 240 divisors, whose sum is σ = 44111748096. Its totient is φ = 2517437952.

The previous prime is 11253458119. The next prime is 11253458197. The reversal of 11253458160 is 6185435211.

11253458160 is a `hidden beast` number, since 1 + 12 + 5 + 3 + 4 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 213127 + ... + 260633.

Almost surely, 2^11253458160 is an apocalyptic number.

11253458160 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 11253458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055874048).

11253458160 is an abundant number, since it is smaller than the sum of its proper divisors (32858289936).

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

11253458160 is a wasteful number, since it uses less digits than its factorization.

11253458160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47580 (or 47571 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11253458160 in words is "eleven billion, two hundred fifty-three million, four hundred fifty-eight thousand, one hundred sixty".