1126993336560 has 1920 divisors, whose sum is σ = 5151414288384. Its totient is φ = 214035333120.

The previous prime is 1126993336507. The next prime is 1126993336603. The reversal of 1126993336560 is 656333996211.

1126993336560 is a `hidden beast` number, since 1 + 12 + 6 + 9 + 9 + 33 + 36 + 560 = 666.

It is a super-2 number, since 2×1126993336560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1126993336497 and 1126993336506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4385187952 + ... + 4385188208.

Almost surely, 2^{1126993336560} is an apocalyptic number.

1126993336560 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 1126993336560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575707144192).

1126993336560 is an abundant number, since it is smaller than the sum of its proper divisors (4024420951824).

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

1126993336560 is a wasteful number, since it uses less digits than its factorization.

1126993336560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 1126993336560 in words is "one trillion, one hundred twenty-six billion, nine hundred ninety-three million, three hundred thirty-six thousand, five hundred sixty".