1083558910080 has 384 divisors, whose sum is σ = 3800636280000. Its totient is φ = 261834743808.

The previous prime is 1083558910033. The next prime is 1083558910087. The reversal of 1083558910080 is 800198553801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1083558910080² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1083558910087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19269846 + ... + 19325994.

Almost surely, 2^{1083558910080} is an apocalyptic number.

1083558910080 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 1083558910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900318140000).

1083558910080 is an abundant number, since it is smaller than the sum of its proper divisors (2717077369920).

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

1083558910080 is a wasteful number, since it uses less digits than its factorization.

1083558910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56236 (or 56201 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 1083558910080 in words is "one trillion, eighty-three billion, five hundred fifty-eight million, nine hundred ten thousand, eighty".