1083253390560 has 1728 divisors, whose sum is σ = 4553559908352. Its totient is φ = 233164800000.

The previous prime is 1083253390559. The next prime is 1083253390561. The reversal of 1083253390560 is 650933523801.

It is a happy number.

1083253390560 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 2 + 53 + 39 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1083253390559) and next prime (1083253390561).

It is a super-2 number, since 2×1083253390560² (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 (1083253390561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4315750435 + ... + 4315750685.

It is an arithmetic number, because the mean of its divisors is an integer number (2635161984).

Almost surely, 2^{1083253390560} is an apocalyptic number.

1083253390560 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 1083253390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276779954176).

1083253390560 is an abundant number, since it is smaller than the sum of its proper divisors (3470306517792).

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

1083253390560 is a wasteful number, since it uses less digits than its factorization.

1083253390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1083253390560 in words is "one trillion, eighty-three billion, two hundred fifty-three million, three hundred ninety thousand, five hundred sixty".