1083275182080 has 2304 divisors, whose sum is σ = 5028960867840. Its totient is φ = 218621804544.

The previous prime is 1083275182043. The next prime is 1083275182081. The reversal of 1083275182080 is 802815723801.

1083275182080 is a `hidden beast` number, since 1 + 0 + 8 + 32 + 7 + 518 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1083275182080² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083275182081) 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, 47098920949 + ... + 47098920971.

It is an arithmetic number, because the mean of its divisors is an integer number (2182708710).

Almost surely, 2^{1083275182080} is an apocalyptic number.

1083275182080 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 1083275182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514480433920).

1083275182080 is an abundant number, since it is smaller than the sum of its proper divisors (3945685685760).

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

1083275182080 is an frugal number, since it uses more digits than its factorization.

1083275182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1083275182080 in words is "one trillion, eighty-three billion, two hundred seventy-five million, one hundred eighty-two thousand, eighty".