1125415605888 has 192 divisors, whose sum is σ = 3702502177920. Its totient is φ = 321429288960.

The previous prime is 1125415605857. The next prime is 1125415605907. The reversal of 1125415605888 is 8885065145211.

It is a happy number.

1125415605888 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 4 + 1 + 56 + 0 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23256598 + ... + 23304938.

It is an arithmetic number, because the mean of its divisors is an integer number (19283865510).

Almost surely, 2^{1125415605888} is an apocalyptic number.

1125415605888 is a gapful number since it is divisible by the number (18) 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 1125415605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851251088960).

1125415605888 is an abundant number, since it is smaller than the sum of its proper divisors (2577086572032).

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

1125415605888 is a wasteful number, since it uses less digits than its factorization.

1125415605888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51255 (or 51240 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 1125415605888 in words is "one trillion, one hundred twenty-five billion, four hundred fifteen million, six hundred five thousand, eight hundred eighty-eight".