11022000061600 has 864 divisors, whose sum is σ = 33510114590400. Its totient is φ = 3514503168000.

The previous prime is 11022000061591. The next prime is 11022000061607. The reversal of 11022000061600 is 616000022011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11022000061607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1907247511 + ... + 1907253289.

It is an arithmetic number, because the mean of its divisors is an integer number (38784854850).

Almost surely, 2^{11022000061600} is an apocalyptic number.

11022000061600 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 11022000061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755057295200).

11022000061600 is an abundant number, since it is smaller than the sum of its proper divisors (22488114528800).

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

11022000061600 is a wasteful number, since it uses less digits than its factorization.

11022000061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11022000061600 its reverse (616000022011), we get a palindrome (11638000083611).

The spelling of 11022000061600 in words is "eleven trillion, twenty-two billion, sixty-one thousand, six hundred".