206125390080 has 108 divisors (see below), whose sum is σ = 713172418140. Its totient is φ = 54966767616.

The previous prime is 206125390073. The next prime is 206125390103. The reversal of 206125390080 is 80093521602.

206125390080 is a `hidden beast` number, since 2 + 0 + 612 + 5 + 39 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115230375936 + 90895014144 = 339456^2 + 301488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8934895 + ... + 8957934.

Almost surely, 2^206125390080 is an apocalyptic number.

206125390080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206125390080 is an abundant number, since it is smaller than the sum of its proper divisors (507047028060).

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

206125390080 is a wasteful number, since it uses less digits than its factorization.

206125390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892856 (or 17892839 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 206125390080 in words is "two hundred six billion, one hundred twenty-five million, three hundred ninety thousand, eighty".