205372656090 has 320 divisors, whose sum is σ = 652677949440. Its totient is φ = 45344033280.

The previous prime is 205372656053. The next prime is 205372656113. The reversal of 205372656090 is 90656273502.

205372656090 is a `hidden beast` number, since 2 + 0 + 5 + 37 + 2 + 6 + 5 + 609 + 0 = 666.

205372656090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205372656090² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187897584 + ... + 187898676.

It is an arithmetic number, because the mean of its divisors is an integer number (2039618592).

Almost surely, 2^205372656090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205372656090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326338974720).

205372656090 is an abundant number, since it is smaller than the sum of its proper divisors (447305293350).

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

205372656090 is a wasteful number, since it uses less digits than its factorization.

205372656090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 205372656090 in words is "two hundred five billion, three hundred seventy-two million, six hundred fifty-six thousand, ninety".