1091332849680 has 240 divisors, whose sum is σ = 3711394776960. Its totient is φ = 287359322112.

The previous prime is 1091332849667. The next prime is 1091332849727. The reversal of 1091332849680 is 869482331901.

1091332849680 is a `hidden beast` number, since 10 + 9 + 133 + 2 + 8 + 496 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1091332849680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25712316 + ... + 25754724.

It is an arithmetic number, because the mean of its divisors is an integer number (15464144904).

Almost surely, 2^{1091332849680} is an apocalyptic number.

1091332849680 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 1091332849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855697388480).

1091332849680 is an abundant number, since it is smaller than the sum of its proper divisors (2620061927280).

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

1091332849680 is a wasteful number, since it uses less digits than its factorization.

1091332849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42878 (or 42869 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1091332849680 in words is "one trillion, ninety-one billion, three hundred thirty-two million, eight hundred forty-nine thousand, six hundred eighty".