1125375509856 has 384 divisors, whose sum is σ = 3356059392000. Its totient is φ = 327757602816.

The previous prime is 1125375509837. The next prime is 1125375509891. The reversal of 1125375509856 is 6589055735211.

It is a junction number, because it is equal to n+sod(n) for n = 1125375509796 and 1125375509805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535300466 + ... + 1535301198.

It is an arithmetic number, because the mean of its divisors is an integer number (8739738000).

Almost surely, 2^{1125375509856} is an apocalyptic number.

1125375509856 is a gapful number since it is divisible by the number (16) 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 1125375509856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678029696000).

1125375509856 is an abundant number, since it is smaller than the sum of its proper divisors (2230683882144).

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

1125375509856 is a wasteful number, since it uses less digits than its factorization.

1125375509856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 57.

The spelling of 1125375509856 in words is "one trillion, one hundred twenty-five billion, three hundred seventy-five million, five hundred nine thousand, eight hundred fifty-six".