600051106000 has 80 divisors (see below), whose sum is σ = 1452333147408. Its totient is φ = 239787264000.

The previous prime is 600051105961. The next prime is 600051106001. The reversal of 600051106000 is 601150006.

It can be written as a sum of positive squares in 8 ways, for example, as 144512501904 + 455538604096 = 380148^2 + 674936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×600051106000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (600051106001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920780 + ... + 2211220.

Almost surely, 2^600051106000 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 600051106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726166573704).

600051106000 is an abundant number, since it is smaller than the sum of its proper divisors (852282041408).

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

600051106000 is a wasteful number, since it uses less digits than its factorization.

600051106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291497 (or 291481 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 600051106000 its reverse (601150006), we get a palindrome (600652256006).

The spelling of 600051106000 in words is "six hundred billion, fifty-one million, one hundred six thousand".