1082479356756 has 240 divisors, whose sum is σ = 3473770608000. Its totient is φ = 293001359616.

The previous prime is 1082479356691. The next prime is 1082479356767. The reversal of 1082479356756 is 6576539742801.

1082479356756 is a `hidden beast` number, since 1 + 0 + 82 + 479 + 35 + 6 + 7 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1082479356693 and 1082479356702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1855180 + ... + 2367836.

It is an arithmetic number, because the mean of its divisors is an integer number (14474044200).

It is a 1-persistent number, because it is pandigital, but 2⋅1082479356756 = 2164958713512 is not.

Almost surely, 2^{1082479356756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082479356756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736885304000).

1082479356756 is an abundant number, since it is smaller than the sum of its proper divisors (2391291251244).

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

1082479356756 is a wasteful number, since it uses less digits than its factorization.

1082479356756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512713 (or 512688 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 1082479356756 in words is "one trillion, eighty-two billion, four hundred seventy-nine million, three hundred fifty-six thousand, seven hundred fifty-six".