205151124421152 has 1536 divisors, whose sum is σ = 766503440640000. Its totient is φ = 53029762007040.

The previous prime is 205151124421129. The next prime is 205151124421193. The reversal of 205151124421152 is 251124421151502.

205151124421152 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 51 + 12 + 442 + 1 + 152 = 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 255 ways as a sum of consecutive naturals, for example, 73557232174 + ... + 73557234962.

It is an arithmetic number, because the mean of its divisors is an integer number (499025677500).

Almost surely, 2^{205151124421152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205151124421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383251720320000).

205151124421152 is an abundant number, since it is smaller than the sum of its proper divisors (561352316218848).

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

205151124421152 is a wasteful number, since it uses less digits than its factorization.

205151124421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 205151124421152 its reverse (251124421151502), we get a palindrome (456275545572654).

The spelling of 205151124421152 in words is "two hundred five trillion, one hundred fifty-one billion, one hundred twenty-four million, four hundred twenty-one thousand, one hundred fifty-two".