206577105672 has 128 divisors (see below), whose sum is σ = 608676768000. Its totient is φ = 57195724800.

The previous prime is 206577105619. The next prime is 206577105727. The reversal of 206577105672 is 276501775602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925672 + ... + 1126952.

It is an arithmetic number, because the mean of its divisors is an integer number (4755287250).

Almost surely, 2^206577105672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206577105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304338384000).

206577105672 is an abundant number, since it is smaller than the sum of its proper divisors (402099662328).

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

206577105672 is a wasteful number, since it uses less digits than its factorization.

206577105672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201487 (or 201483 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 206577105672 in words is "two hundred six billion, five hundred seventy-seven million, one hundred five thousand, six hundred seventy-two".