205076720000 has 160 divisors (see below), whose sum is σ = 513413623800. Its totient is φ = 81566720000.

The previous prime is 205076719951. The next prime is 205076720011. The reversal of 205076720000 is 27670502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×205076720000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14312840 + ... + 14327160.

Almost surely, 2^205076720000 is an apocalyptic number.

205076720000 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 205076720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256706811900).

205076720000 is an abundant number, since it is smaller than the sum of its proper divisors (308336903800).

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

205076720000 is an equidigital number, since it uses as much as digits as its factorization.

205076720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14534 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The spelling of 205076720000 in words is "two hundred five billion, seventy-six million, seven hundred twenty thousand".