1100891272320 has 1536 divisors, whose sum is σ = 4607768954880. Its totient is φ = 237024313344.

The previous prime is 1100891272301. The next prime is 1100891272333. The reversal of 1100891272320 is 232721980011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9742400584 + ... + 9742400696.

It is an arithmetic number, because the mean of its divisors is an integer number (2999849580).

Almost surely, 2^{1100891272320} is an apocalyptic number.

1100891272320 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 1100891272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303884477440).

1100891272320 is an abundant number, since it is smaller than the sum of its proper divisors (3506877682560).

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

1100891272320 is a wasteful number, since it uses less digits than its factorization.

1100891272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1100891272320 in words is "one trillion, one hundred billion, eight hundred ninety-one million, two hundred seventy-two thousand, three hundred twenty".