1083056421888 has 264 divisors, whose sum is σ = 3577803391968. Its totient is φ = 309120565248.

The previous prime is 1083056421883. The next prime is 1083056421943. The reversal of 1083056421888 is 8881246503801.

1083056421888 is a `hidden beast` number, since 10 + 83 + 0 + 56 + 421 + 8 + 88 = 666.

It is a super-2 number, since 2×1083056421888² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083056421883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65342370 + ... + 65358942.

Almost surely, 2^{1083056421888} is an apocalyptic number.

1083056421888 is a gapful number since it is divisible by the number (18) 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 1083056421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788901695984).

1083056421888 is an abundant number, since it is smaller than the sum of its proper divisors (2494746970080).

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

1083056421888 is a wasteful number, since it uses less digits than its factorization.

1083056421888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17619 (or 17598 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1083056421888 in words is "one trillion, eighty-three billion, fifty-six million, four hundred twenty-one thousand, eight hundred eighty-eight".