1135580560128 has 720 divisors, whose sum is σ = 4009418828800. Its totient is φ = 319474907136.

The previous prime is 1135580560123. The next prime is 1135580560171. The reversal of 1135580560128 is 8210650855311.

1135580560128 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 80 + 560 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1135580560123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 476532825 + ... + 476535207.

Almost surely, 2^{1135580560128} is an apocalyptic number.

1135580560128 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 1135580560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004709414400).

1135580560128 is an abundant number, since it is smaller than the sum of its proper divisors (2873838268672).

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

1135580560128 is an frugal number, since it uses more digits than its factorization.

1135580560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 1135580560128 in words is "one trillion, one hundred thirty-five billion, five hundred eighty million, five hundred sixty thousand, one hundred twenty-eight".