206101777400 has 96 divisors (see below), whose sum is σ = 492905952000. Its totient is φ = 80105665920.

The previous prime is 206101777397. The next prime is 206101777417. The reversal of 206101777400 is 4777101602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227731 + ... + 1385469.

It is an arithmetic number, because the mean of its divisors is an integer number (5134437000).

Almost surely, 2^206101777400 is an apocalyptic number.

206101777400 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 206101777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246452976000).

206101777400 is an abundant number, since it is smaller than the sum of its proper divisors (286804174600).

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

206101777400 is a wasteful number, since it uses less digits than its factorization.

206101777400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157941 (or 157932 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 206101777400 in words is "two hundred six billion, one hundred one million, seven hundred seventy-seven thousand, four hundred".