11092955040 has 288 divisors, whose sum is σ = 38873592576. Its totient is φ = 2879232000.

The previous prime is 11092955023. The next prime is 11092955047. The reversal of 11092955040 is 4055929011.

11092955040 is a `hidden beast` number, since 1 + 10 + 92 + 9 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11092955040² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11092954986 and 11092955004.

It is not an unprimeable number, because it can be changed into a prime (11092955047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16987354 + ... + 16988006.

It is an arithmetic number, because the mean of its divisors is an integer number (134977752).

Almost surely, 2^11092955040 is an apocalyptic number.

11092955040 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 11092955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436796288).

11092955040 is an abundant number, since it is smaller than the sum of its proper divisors (27780637536).

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

11092955040 is a wasteful number, since it uses less digits than its factorization.

11092955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 11092955040 in words is "eleven billion, ninety-two million, nine hundred fifty-five thousand, forty".