1125591863760 has 960 divisors, whose sum is σ = 5055463096320. Its totient is φ = 217723023360.

The previous prime is 1125591863749. The next prime is 1125591863797. The reversal of 1125591863760 is 673681955211.

1125591863760 is a `hidden beast` number, since 1 + 1 + 2 + 559 + 1 + 86 + 3 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1125591863697 and 1125591863706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38576697 + ... + 38605863.

It is an arithmetic number, because the mean of its divisors is an integer number (5266107392).

Almost surely, 2^{1125591863760} is an apocalyptic number.

1125591863760 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 1125591863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527731548160).

1125591863760 is an abundant number, since it is smaller than the sum of its proper divisors (3929871232560).

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

1125591863760 is a wasteful number, since it uses less digits than its factorization.

1125591863760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29256 (or 29247 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1125591863760 in words is "one trillion, one hundred twenty-five billion, five hundred ninety-one million, eight hundred sixty-three thousand, seven hundred sixty".