205951162032 has 1280 divisors, whose sum is σ = 806348390400. Its totient is φ = 48771072000.

The previous prime is 205951162031. The next prime is 205951162033. The reversal of 205951162032 is 230261159502.

It is a happy number.

205951162032 is a `hidden beast` number, since 2 + 0 + 59 + 511 + 62 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (205951162031) and next prime (205951162033).

It is a super-2 number, since 2×205951162032² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (205951162031) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2123207808 + ... + 2123207904.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^205951162032 is an apocalyptic number.

205951162032 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 205951162032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403174195200).

205951162032 is an abundant number, since it is smaller than the sum of its proper divisors (600397228368).

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

205951162032 is a wasteful number, since it uses less digits than its factorization.

205951162032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 205951162032 in words is "two hundred five billion, nine hundred fifty-one million, one hundred sixty-two thousand, thirty-two".