205738658532 has 72 divisors (see below), whose sum is σ = 586295388000. Its totient is φ = 62345044080.

The previous prime is 205738658519. The next prime is 205738658621. The reversal of 205738658532 is 235856837502.

205738658532 is a `hidden beast` number, since 2 + 0 + 57 + 3 + 8 + 6 + 58 + 532 = 666.

It is a super-2 number, since 2×205738658532² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7858782 + ... + 7884917.

It is an arithmetic number, because the mean of its divisors is an integer number (8142991500).

Almost surely, 2^205738658532 is an apocalyptic number.

205738658532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205738658532 is an abundant number, since it is smaller than the sum of its proper divisors (380556729468).

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

205738658532 is a wasteful number, since it uses less digits than its factorization.

205738658532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15743734 (or 15743715 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 205738658532 in words is "two hundred five billion, seven hundred thirty-eight million, six hundred fifty-eight thousand, five hundred thirty-two".