11460236160 has 256 divisors, whose sum is σ = 37707816960. Its totient is φ = 2958778368.

The previous prime is 11460236159. The next prime is 11460236191. The reversal of 11460236160 is 6163206411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10484574 + ... + 10485666.

It is an arithmetic number, because the mean of its divisors is an integer number (147296160).

Almost surely, 2^11460236160 is an apocalyptic number.

11460236160 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 11460236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853908480).

11460236160 is an abundant number, since it is smaller than the sum of its proper divisors (26247580800).

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

11460236160 is a wasteful number, since it uses less digits than its factorization.

11460236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 11460236160 in words is "eleven billion, four hundred sixty million, two hundred thirty-six thousand, one hundred sixty".