11309880960 has 448 divisors, whose sum is σ = 46342500480. Its totient is φ = 2584369152.

The previous prime is 11309880949. The next prime is 11309880961. The reversal of 11309880960 is 6908890311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×11309880960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11309880961) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 3264189 + ... + 3267651.

Almost surely, 2^11309880960 is an apocalyptic number.

11309880960 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 11309880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23171250240).

11309880960 is an abundant number, since it is smaller than the sum of its proper divisors (35032619520).

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

11309880960 is an frugal number, since it uses more digits than its factorization.

11309880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11309880960 in words is "eleven billion, three hundred nine million, eight hundred eighty thousand, nine hundred sixty".