60601010000 has 200 divisors, whose sum is σ = 153357316200. Its totient is φ = 23161600000.

The previous prime is 60601009967. The next prime is 60601010009. The reversal of 60601010000 is 1010606.

It can be written as a sum of positive squares in 20 ways, for example, as 57586560784 + 3014449216 = 239972^2 + 54904^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60601010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29288966 + ... + 29291034.

It is an arithmetic number, because the mean of its divisors is an integer number (766786581).

Almost surely, 2^60601010000 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 60601010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76678658100).

60601010000 is an abundant number, since it is smaller than the sum of its proper divisors (92756306200).

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

60601010000 is a wasteful number, since it uses less digits than its factorization.

60601010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2206 counting only the distinct ones).

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

Adding to 60601010000 its reverse (1010606), we get a palindrome (60602020606).

The spelling of 60601010000 in words is "sixty billion, six hundred one million, ten thousand".