206397810900 has 432 divisors, whose sum is σ = 713537330688. Its totient is φ = 49674240000.

The previous prime is 206397810893. The next prime is 206397810937. The reversal of 206397810900 is 9018793602.

206397810900 is a `hidden beast` number, since 2 + 0 + 639 + 7 + 8 + 1 + 0 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53593975 + ... + 53597825.

It is an arithmetic number, because the mean of its divisors is an integer number (1651706784).

Almost surely, 2^206397810900 is an apocalyptic number.

206397810900 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 206397810900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356768665344).

206397810900 is an abundant number, since it is smaller than the sum of its proper divisors (507139519788).

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

206397810900 is a wasteful number, since it uses less digits than its factorization.

206397810900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 206397810900 in words is "two hundred six billion, three hundred ninety-seven million, eight hundred ten thousand, nine hundred".