1091181542880 has 864 divisors, whose sum is σ = 4307138478720. Its totient is φ = 231289344000.

The previous prime is 1091181542863. The next prime is 1091181542881. The reversal of 1091181542880 is 882451811901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091181542881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186491955 + ... + 186497805.

It is an arithmetic number, because the mean of its divisors is an integer number (4985113980).

Almost surely, 2^{1091181542880} is an apocalyptic number.

1091181542880 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 1091181542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153569239360).

1091181542880 is an abundant number, since it is smaller than the sum of its proper divisors (3215956935840).

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

1091181542880 is a wasteful number, since it uses less digits than its factorization.

1091181542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 48.

The spelling of 1091181542880 in words is "one trillion, ninety-one billion, one hundred eighty-one million, five hundred forty-two thousand, eight hundred eighty".