1100130729984 has 1800 divisors, whose sum is σ = 4252303085184. Its totient is φ = 280284364800.

The previous prime is 1100130729961. The next prime is 1100130730003. The reversal of 1100130729984 is 4899270310011.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35488088049 + ... + 35488088079.

Almost surely, 2^{1100130729984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100130729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126151542592).

1100130729984 is an abundant number, since it is smaller than the sum of its proper divisors (3152172355200).

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

1100130729984 is a wasteful number, since it uses less digits than its factorization.

1100130729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1100130729984 in words is "one trillion, one hundred billion, one hundred thirty million, seven hundred twenty-nine thousand, nine hundred eighty-four".