1101488800 has 72 divisors (see below), whose sum is σ = 2705826816. Its totient is φ = 437840640.

The previous prime is 1101488783. The next prime is 1101488819. The reversal of 1101488800 is 88841011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126177 + ... + 134623.

It is an arithmetic number, because the mean of its divisors is an integer number (37580928).

Almost surely, 2^1101488800 is an apocalyptic number.

1101488800 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 1101488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352913408).

1101488800 is an abundant number, since it is smaller than the sum of its proper divisors (1604338016).

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

1101488800 is a wasteful number, since it uses less digits than its factorization.

1101488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 1101488800 is about 33188.6848187752. The cubic root of 1101488800 is about 1032.7456202444.

The spelling of 1101488800 in words is "one billion, one hundred one million, four hundred eighty-eight thousand, eight hundred".