1100988000 has 576 divisors, whose sum is σ = 4746688128. Its totient is φ = 235929600.

The previous prime is 1100987999. The next prime is 1100988001. The reversal of 1100988000 is 8890011.

1100988000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1100987999) and next prime (1100988001).

It is a super-2 number, since 2×1100988000² = 2424349152288000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100988001) 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, 4283872 + ... + 4284128.

It is an arithmetic number, because the mean of its divisors is an integer number (8240778).

Almost surely, 2^1100988000 is an apocalyptic number.

1100988000 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 1100988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373344064).

1100988000 is an abundant number, since it is smaller than the sum of its proper divisors (3645700128).

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

1100988000 is a wasteful number, since it uses less digits than its factorization.

1100988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1100988000 is about 33181.1392209490. The cubic root of 1100988000 is about 1032.5890813826.

The spelling of 1100988000 in words is "one billion, one hundred million, nine hundred eighty-eight thousand".