205437037872 has 80 divisors (see below), whose sum is σ = 579414200832. Its totient is φ = 62204693760.

The previous prime is 205437037847. The next prime is 205437037877. The reversal of 205437037872 is 278730734502.

205437037872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (205437037877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521913 + ... + 826599.

Almost surely, 2^205437037872 is an apocalyptic number.

205437037872 is a gapful number since it is divisible by the number (22) 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 205437037872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289707100416).

205437037872 is an abundant number, since it is smaller than the sum of its proper divisors (373977162960).

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

205437037872 is a wasteful number, since it uses less digits than its factorization.

205437037872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305986 (or 305980 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 205437037872 in words is "two hundred five billion, four hundred thirty-seven million, thirty-seven thousand, eight hundred seventy-two".