206077271400 has 864 divisors, whose sum is σ = 945872272800. Its totient is φ = 39524889600.

The previous prime is 206077271399. The next prime is 206077271417. The reversal of 206077271400 is 4172770602.

It is a happy number.

206077271400 is a `hidden beast` number, since 2 + 0 + 607 + 7 + 2 + 7 + 1 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12604431 + ... + 12620769.

It is an arithmetic number, because the mean of its divisors is an integer number (1094759575).

Almost surely, 2^206077271400 is an apocalyptic number.

206077271400 is a gapful number since it is divisible by the number (20) 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 206077271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472936136400).

206077271400 is an abundant number, since it is smaller than the sum of its proper divisors (739795001400).

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

206077271400 is a wasteful number, since it uses less digits than its factorization.

206077271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16380 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 206077271400 in words is "two hundred six billion, seventy-seven million, two hundred seventy-one thousand, four hundred".