11005962240 has 768 divisors, whose sum is σ = 45086146560. Its totient is φ = 2229534720.

The previous prime is 11005962221. The next prime is 11005962241. The reversal of 11005962240 is 4226950011.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×11005962240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11005962198 and 11005962207.

It is not an unprimeable number, because it can be changed into a prime (11005962241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86661057 + ... + 86661183.

It is an arithmetic number, because the mean of its divisors is an integer number (58705920).

Almost surely, 2^11005962240 is an apocalyptic number.

11005962240 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 11005962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22543073280).

11005962240 is an abundant number, since it is smaller than the sum of its proper divisors (34080184320).

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

11005962240 is a wasteful number, since it uses less digits than its factorization.

11005962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11005962240 in words is "eleven billion, five million, nine hundred sixty-two thousand, two hundred forty".