11207820960 has 1008 divisors, whose sum is σ = 48324144456. Its totient is φ = 2445520896.

The previous prime is 11207820959. The next prime is 11207820971. The reversal of 11207820960 is 6902870211.

It can be written as a sum of positive squares in 4 ways, for example, as 11042647056 + 165173904 = 105084^2 + 12852^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 167 ways as a sum of consecutive naturals, for example, 211468294 + ... + 211468346.

Almost surely, 2^11207820960 is an apocalyptic number.

11207820960 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 11207820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24162072228).

11207820960 is an abundant number, since it is smaller than the sum of its proper divisors (37116323496).

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

11207820960 is an equidigital number, since it uses as much as digits as its factorization.

11207820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11207820960 in words is "eleven billion, two hundred seven million, eight hundred twenty thousand, nine hundred sixty".