10660211075600 has 120 divisors (see below), whose sum is σ = 25766825946312. Its totient is φ = 4238181273600.

The previous prime is 10660211075581. The next prime is 10660211075603. The reversal of 10660211075600 is 657011206601.

It can be written as a sum of positive squares in 12 ways, for example, as 6391127812624 + 4269083262976 = 2528068^2 + 2066176^2 .

It is a super-2 number, since 2×10660211075600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10660211075603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254150630 + ... + 254192570.

Almost surely, 2^{10660211075600} is an apocalyptic number.

10660211075600 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 10660211075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883412973156).

10660211075600 is an abundant number, since it is smaller than the sum of its proper divisors (15106614870712).

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

10660211075600 is a wasteful number, since it uses less digits than its factorization.

10660211075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45805 (or 45794 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10660211075600 in words is "ten trillion, six hundred sixty billion, two hundred eleven million, seventy-five thousand, six hundred".