206161402500 has 225 divisors, whose sum is σ = 674135830137. Its totient is φ = 54921888000.

The previous prime is 206161402487. The next prime is 206161402501. The reversal of 206161402500 is 5204161602.

The square root of 206161402500 is 454050.

It is a perfect power (a square), and thus also a powerful number.

206161402500 is a `hidden beast` number, since 2 + 0 + 6 + 16 + 140 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 187761022596 + 18400379904 = 433314^2 + 135648^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (206161402501) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 204321996 + ... + 204323004.

Almost surely, 2^206161402500 is an apocalyptic number.

206161402500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206161402500 is the 454050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206161402500

206161402500 is an abundant number, since it is smaller than the sum of its proper divisors (467974427637).

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

206161402500 is an frugal number, since it uses more digits than its factorization.

206161402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 206161402500 in words is "two hundred six billion, one hundred sixty-one million, four hundred two thousand, five hundred".