1128577570560 has 864 divisors, whose sum is σ = 4463570610240. Its totient is φ = 269773701120.

The previous prime is 1128577570553. The next prime is 1128577570597. The reversal of 1128577570560 is 650757758211.

1128577570560 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 7 + 7 + 5 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1128577570560² (a number of 25 digits) contains 22 as substring.

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 = 1128577570497 and 1128577570506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305266632 + ... + 305270328.

Almost surely, 2^{1128577570560} is an apocalyptic number.

1128577570560 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 1128577570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231785305120).

1128577570560 is an abundant number, since it is smaller than the sum of its proper divisors (3334993039680).

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

1128577570560 is a wasteful number, since it uses less digits than its factorization.

1128577570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 54.

The spelling of 1128577570560 in words is "one trillion, one hundred twenty-eight billion, five hundred seventy-seven million, five hundred seventy thousand, five hundred sixty".