11406510160 has 80 divisors (see below), whose sum is σ = 27936783360. Its totient is φ = 4319239680.

The previous prime is 11406510131. The next prime is 11406510161. The reversal of 11406510160 is 6101560411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406510161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362065 + ... + 3365455.

It is an arithmetic number, because the mean of its divisors is an integer number (349209792).

Almost surely, 2^11406510160 is an apocalyptic number.

11406510160 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 11406510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968391680).

11406510160 is an abundant number, since it is smaller than the sum of its proper divisors (16530273200).

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

11406510160 is a wasteful number, since it uses less digits than its factorization.

11406510160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 11406510160 in words is "eleven billion, four hundred six million, five hundred ten thousand, one hundred sixty".