1109822879520 has 1152 divisors, whose sum is σ = 4140968832000. Its totient is φ = 270171832320.

The previous prime is 1109822879497. The next prime is 1109822879527. The reversal of 1109822879520 is 259782289011.

1109822879520 is a `hidden beast` number, since 1 + 1 + 0 + 98 + 2 + 28 + 7 + 9 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (1109822879527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10181861226 + ... + 10181861334.

It is an arithmetic number, because the mean of its divisors is an integer number (3594591000).

Almost surely, 2^{1109822879520} is an apocalyptic number.

1109822879520 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 1109822879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070484416000).

1109822879520 is an abundant number, since it is smaller than the sum of its proper divisors (3031145952480).

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

1109822879520 is a wasteful number, since it uses less digits than its factorization.

1109822879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1109822879520 in words is "one trillion, one hundred nine billion, eight hundred twenty-two million, eight hundred seventy-nine thousand, five hundred twenty".