1128996610560 has 3200 divisors, whose sum is σ = 5430132449280. Its totient is φ = 217570738176.

The previous prime is 1128996610549. The next prime is 1128996610589. The reversal of 1128996610560 is 650166998211.

1128996610560 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 9 + 66 + 10 + 560 = 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 = 1128996610497 and 1128996610506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16850695647 + ... + 16850695713.

Almost surely, 2^{1128996610560} is an apocalyptic number.

1128996610560 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 1128996610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715066224640).

1128996610560 is an abundant number, since it is smaller than the sum of its proper divisors (4301135838720).

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

1128996610560 is a wasteful number, since it uses less digits than its factorization.

1128996610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1128996610560 in words is "one trillion, one hundred twenty-eight billion, nine hundred ninety-six million, six hundred ten thousand, five hundred sixty".