610600010000 has 100 divisors (see below), whose sum is σ = 1484463666444. Its totient is φ = 243225600000.

The previous prime is 610600009993. The next prime is 610600010017. The reversal of 610600010000 is 10006016.

It can be written as a sum of positive squares in 10 ways, for example, as 478592774416 + 132007235584 = 691804^2 + 363328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2283320 + ... + 2536680.

Almost surely, 2^610600010000 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 610600010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742231833222).

610600010000 is an abundant number, since it is smaller than the sum of its proper divisors (873863656444).

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

610600010000 is a wasteful number, since it uses less digits than its factorization.

610600010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253630 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 610600010000 its reverse (10006016), we get a palindrome (610610016016).

The spelling of 610600010000 in words is "six hundred ten billion, six hundred million, ten thousand".