11211909360 has 320 divisors, whose sum is σ = 38689809408. Its totient is φ = 2671460352.

The previous prime is 11211909353. The next prime is 11211909389. The reversal of 11211909360 is 6390911211.

It is a super-2 number, since 2×11211909360² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15295554 + ... + 15296286.

Almost surely, 2^11211909360 is an apocalyptic number.

11211909360 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 11211909360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344904704).

11211909360 is an abundant number, since it is smaller than the sum of its proper divisors (27477900048).

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

11211909360 is a wasteful number, since it uses less digits than its factorization.

11211909360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 11211909360 in words is "eleven billion, two hundred eleven million, nine hundred nine thousand, three hundred sixty".