512211255023160 has 1536 divisors, whose sum is σ = 2192222188800000. Its totient is φ = 106255807257600.

The previous prime is 512211255023131. The next prime is 512211255023173. The reversal of 512211255023160 is 61320552112215.

512211255023160 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 1 + 12 + 550 + 2 + 31 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27745576330 + ... + 27745594790.

It is an arithmetic number, because the mean of its divisors is an integer number (1427227987500).

Almost surely, 2^{512211255023160} 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 512211255023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096111094400000).

512211255023160 is an abundant number, since it is smaller than the sum of its proper divisors (1680010933776840).

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

512211255023160 is a wasteful number, since it uses less digits than its factorization.

512211255023160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19143 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 512211255023160 in words is "five hundred twelve trillion, two hundred eleven billion, two hundred fifty-five million, twenty-three thousand, one hundred sixty".