11022359040 has 1280 divisors, whose sum is σ = 51853824000. Its totient is φ = 2149908480.

The previous prime is 11022358993. The next prime is 11022359053. The reversal of 11022359040 is 4095322011.

11022359040 is a `hidden beast` number, since 1 + 10 + 2 + 23 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11022358995 and 11022359013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101122506 + ... + 101122614.

It is an arithmetic number, because the mean of its divisors is an integer number (40510800).

Almost surely, 2^11022359040 is an apocalyptic number.

11022359040 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 11022359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926912000).

11022359040 is an abundant number, since it is smaller than the sum of its proper divisors (40831464960).

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

11022359040 is a wasteful number, since it uses less digits than its factorization.

11022359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11022359040 in words is "eleven billion, twenty-two million, three hundred fifty-nine thousand, forty".