205851264000 has 352 divisors, whose sum is σ = 686620002432. Its totient is φ = 54743040000.

The previous prime is 205851263999. The next prime is 205851264053. The reversal of 205851264000 is 462158502.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253823595 + ... + 253824405.

Almost surely, 2^205851264000 is an apocalyptic number.

205851264000 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 205851264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343310001216).

205851264000 is an abundant number, since it is smaller than the sum of its proper divisors (480768738432).

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

205851264000 is an equidigital number, since it uses as much as digits as its factorization.

205851264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 205851264000 in words is "two hundred five billion, eight hundred fifty-one million, two hundred sixty-four thousand".