205150105045512 has 192 divisors, whose sum is σ = 613819511136000. Its totient is φ = 61377605452800.

The previous prime is 205150105045493. The next prime is 205150105045621. The reversal of 205150105045512 is 215540501051502.

205150105045512 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 50 + 1 + 0 + 50 + 4 + 551 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040082812 + ... + 3040150292.

It is an arithmetic number, because the mean of its divisors is an integer number (3196976620500).

Almost surely, 2^{205150105045512} is an apocalyptic number.

205150105045512 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 205150105045512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306909755568000).

205150105045512 is an abundant number, since it is smaller than the sum of its proper divisors (408669406090488).

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

205150105045512 is a wasteful number, since it uses less digits than its factorization.

205150105045512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116172 (or 116165 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 205150105045512 in words is "two hundred five trillion, one hundred fifty billion, one hundred five million, forty-five thousand, five hundred twelve".