11022865920 has 960 divisors, whose sum is σ = 45593653248. Its totient is φ = 2433024000.

The previous prime is 11022865913. The next prime is 11022865927. The reversal of 11022865920 is 2956822011.

It is an interprime number because it is at equal distance from previous prime (11022865913) and next prime (11022865927).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022865927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180702690 + ... + 180702750.

Almost surely, 2^11022865920 is an apocalyptic number.

11022865920 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 11022865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796826624).

11022865920 is an abundant number, since it is smaller than the sum of its proper divisors (34570787328).

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

11022865920 is a wasteful number, since it uses less digits than its factorization.

11022865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11022865920 in words is "eleven billion, twenty-two million, eight hundred sixty-five thousand, nine hundred twenty".