1093883120640 has 1056 divisors, whose sum is σ = 4233729202560. Its totient is φ = 259730178048.

The previous prime is 1093883120597. The next prime is 1093883120653. The reversal of 1093883120640 is 460213883901.

1093883120640 is a `hidden beast` number, since 109 + 388 + 3 + 120 + 6 + 40 = 666.

It is a super-2 number, since 2×1093883120640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1963883242 + ... + 1963883798.

It is an arithmetic number, because the mean of its divisors is an integer number (4009213260).

Almost surely, 2^{1093883120640} is an apocalyptic number.

1093883120640 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 1093883120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116864601280).

1093883120640 is an abundant number, since it is smaller than the sum of its proper divisors (3139846081920).

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

1093883120640 is a wasteful number, since it uses less digits than its factorization.

1093883120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1093883120640 in words is "one trillion, ninety-three billion, eight hundred eighty-three million, one hundred twenty thousand, six hundred forty".