11107856552960 has 176 divisors, whose sum is σ = 27305118867600. Its totient is φ = 4333283573760.

The previous prime is 11107856552941. The next prime is 11107856552971. The reversal of 11107856552960 is 6925565870111.

It can be written as a sum of positive squares in 8 ways, for example, as 2365001076736 + 8742855476224 = 1537856^2 + 2956832^2 .

It is a super-2 number, since 2×11107856552960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11107856552896 and 11107856552905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763471766 + ... + 763486314.

Almost surely, 2^{11107856552960} is an apocalyptic number.

11107856552960 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 11107856552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652559433800).

11107856552960 is an abundant number, since it is smaller than the sum of its proper divisors (16197262314640).

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

11107856552960 is a wasteful number, since it uses less digits than its factorization.

11107856552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18252 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 56.

The spelling of 11107856552960 in words is "eleven trillion, one hundred seven billion, eight hundred fifty-six million, five hundred fifty-two thousand, nine hundred sixty".