1084399683360 has 768 divisors, whose sum is σ = 4138573824000. Its totient is φ = 233335517184.

The previous prime is 1084399683349. The next prime is 1084399683379. The reversal of 1084399683360 is 633869934801.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1084399683294 and 1084399683303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1645522711 + ... + 1645523369.

It is an arithmetic number, because the mean of its divisors is an integer number (5388768000).

Almost surely, 2^{1084399683360} is an apocalyptic number.

1084399683360 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 1084399683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069286912000).

1084399683360 is an abundant number, since it is smaller than the sum of its proper divisors (3054174140640).

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

1084399683360 is a wasteful number, since it uses less digits than its factorization.

1084399683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 1084399683360 in words is "one trillion, eighty-four billion, three hundred ninety-nine million, six hundred eighty-three thousand, three hundred sixty".