11390465160 has 256 divisors, whose sum is σ = 39674880000. Its totient is φ = 2903351040.

The previous prime is 11390465131. The next prime is 11390465167. The reversal of 11390465160 is 6156409311.

11390465160 is a `hidden beast` number, since 1 + 1 + 39 + 0 + 465 + 160 = 666.

It is a super-2 number, since 2×11390465160² (a number of 21 digits) contains 22 as substring.

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 (11390465167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2776791 + ... + 2780889.

It is an arithmetic number, because the mean of its divisors is an integer number (154980000).

Almost surely, 2^11390465160 is an apocalyptic number.

11390465160 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 11390465160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440000).

11390465160 is an abundant number, since it is smaller than the sum of its proper divisors (28284414840).

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

11390465160 is a wasteful number, since it uses less digits than its factorization.

11390465160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 11390465 and 160, that added together give a 6-th power (11390625 = 15⁶).

The spelling of 11390465160 in words is "eleven billion, three hundred ninety million, four hundred sixty-five thousand, one hundred sixty".