1127903736960 has 2048 divisors, whose sum is σ = 5406970060800. Its totient is φ = 214592716800.

The previous prime is 1127903736941. The next prime is 1127903736983. The reversal of 1127903736960 is 696373097211.

It is a happy number.

1127903736960 is a `hidden beast` number, since 1 + 1 + 279 + 0 + 3 + 7 + 369 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1127903736897 and 1127903736906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3407563995 + ... + 3407564325.

It is an arithmetic number, because the mean of its divisors is an integer number (2640122100).

Almost surely, 2^{1127903736960} is an apocalyptic number.

1127903736960 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 1127903736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703485030400).

1127903736960 is an abundant number, since it is smaller than the sum of its proper divisors (4279066323840).

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

1127903736960 is a wasteful number, since it uses less digits than its factorization.

1127903736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 1127903736960 in words is "one trillion, one hundred twenty-seven billion, nine hundred three million, seven hundred thirty-six thousand, nine hundred sixty".