205302991140 has 72 divisors (see below), whose sum is σ = 670656445368. Its totient is φ = 50536120320.

The previous prime is 205302991031. The next prime is 205302991147. The reversal of 205302991140 is 41199203502.

205302991140 is a `hidden beast` number, since 2 + 0 + 530 + 2 + 9 + 9 + 114 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115734564 + 205187256576 = 10758^2 + 452976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205302991095 and 205302991104.

It is not an unprimeable number, because it can be changed into a prime (205302991147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43865821 + ... + 43870500.

Almost surely, 2^205302991140 is an apocalyptic number.

205302991140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205302991140 is an abundant number, since it is smaller than the sum of its proper divisors (465353454228).

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

205302991140 is a wasteful number, since it uses less digits than its factorization.

205302991140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87736349 (or 87736344 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 205302991140 in words is "two hundred five billion, three hundred two million, nine hundred ninety-one thousand, one hundred forty".