10566084533070 has 192 divisors, whose sum is σ = 28258685602560. Its totient is φ = 2526186516480.

The previous prime is 10566084533063. The next prime is 10566084533087. The reversal of 10566084533070 is 7033548066501.

It is a super-2 number, since 2×10566084533070² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173813941 + ... + 173874719.

It is an arithmetic number, because the mean of its divisors is an integer number (147180654180).

Almost surely, 2^{10566084533070} is an apocalyptic number.

10566084533070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10566084533070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129342801280).

10566084533070 is an abundant number, since it is smaller than the sum of its proper divisors (17692601069490).

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

10566084533070 is a wasteful number, since it uses less digits than its factorization.

10566084533070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61471 (or 61460 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 10566084533070 in words is "ten trillion, five hundred sixty-six billion, eighty-four million, five hundred thirty-three thousand, seventy".