10705533066972 has 108 divisors (see below), whose sum is σ = 28564041738960. Its totient is φ = 3380268858624.

The previous prime is 10705533066971. The next prime is 10705533067013. The reversal of 10705533066972 is 27966033550701.

10705533066972 is a `hidden beast` number, since 10 + 7 + 0 + 5 + 533 + 0 + 6 + 6 + 97 + 2 = 666.

It is a super-2 number, since 2×10705533066972² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705533066971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112536804 + ... + 112631892.

Almost surely, 2^{10705533066972} is an apocalyptic number.

10705533066972 is a gapful number since it is divisible by the number (12) 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 10705533066972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282020869480).

10705533066972 is an abundant number, since it is smaller than the sum of its proper divisors (17858508671988).

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

10705533066972 is a wasteful number, since it uses less digits than its factorization.

10705533066972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103800 (or 103776 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 10705533066972 in words is "ten trillion, seven hundred five billion, five hundred thirty-three million, sixty-six thousand, nine hundred seventy-two".