1082129426688 has 288 divisors, whose sum is σ = 3074869324800. Its totient is φ = 336869203968.

The previous prime is 1082129426579. The next prime is 1082129426711. The reversal of 1082129426688 is 8866249212801.

It is a super-2 number, since 2×1082129426688² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880495258 + ... + 880496486.

It is an arithmetic number, because the mean of its divisors is an integer number (10676629600).

Almost surely, 2^{1082129426688} 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 1082129426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537434662400).

1082129426688 is an abundant number, since it is smaller than the sum of its proper divisors (1992739898112).

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

1082129426688 is a wasteful number, since it uses less digits than its factorization.

1082129426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 1082129426688 in words is "one trillion, eighty-two billion, one hundred twenty-nine million, four hundred twenty-six thousand, six hundred eighty-eight".