10206577232082 has 160 divisors (see below), whose sum is σ = 28590069619584. Its totient is φ = 2643950419200.

The previous prime is 10206577232081. The next prime is 10206577232161. The reversal of 10206577232082 is 28023277560201.

10206577232082 is a `hidden beast` number, since 1 + 0 + 206 + 57 + 72 + 320 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10206577232081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3555982 + ... + 5749622.

Almost surely, 2^{10206577232082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206577232082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295034809792).

10206577232082 is an abundant number, since it is smaller than the sum of its proper divisors (18383492387502).

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

10206577232082 is a wasteful number, since it uses less digits than its factorization.

10206577232082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194046 (or 2194037 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10206577232082 in words is "ten trillion, two hundred six billion, five hundred seventy-seven million, two hundred thirty-two thousand, eighty-two".