11490716160 has 1280 divisors, whose sum is σ = 54305095680. Its totient is φ = 2229534720.

The previous prime is 11490716147. The next prime is 11490716161. The reversal of 11490716160 is 6161709411.

11490716160 is a `hidden beast` number, since 1 + 1 + 490 + 7 + 1 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (11490716161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90478017 + ... + 90478143.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^11490716160 is an apocalyptic number.

11490716160 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 11490716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152547840).

11490716160 is an abundant number, since it is smaller than the sum of its proper divisors (42814379520).

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

11490716160 is a wasteful number, since it uses less digits than its factorization.

11490716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11490716160 in words is "eleven billion, four hundred ninety million, seven hundred sixteen thousand, one hundred sixty".