11258462160 has 960 divisors, whose sum is σ = 47966929920. Its totient is φ = 2418647040.

The previous prime is 11258462153. The next prime is 11258462161. The reversal of 11258462160 is 6126485211.

It is a happy number.

11258462160 is a `hidden beast` number, since 1 + 1 + 2 + 584 + 62 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11258462161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69070239 + ... + 69070401.

It is an arithmetic number, because the mean of its divisors is an integer number (49965552).

Almost surely, 2^11258462160 is an apocalyptic number.

11258462160 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 11258462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23983464960).

11258462160 is an abundant number, since it is smaller than the sum of its proper divisors (36708467760).

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

11258462160 is a wasteful number, since it uses less digits than its factorization.

11258462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11258462160 in words is "eleven billion, two hundred fifty-eight million, four hundred sixty-two thousand, one hundred sixty".