60060000006006 has 256 divisors, whose sum is σ = 162928655898624. Its totient is φ = 14252889600000.

The previous prime is 60060000005749. The next prime is 60060000006029.

60060000006006 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2147977866 + ... + 2148005826.

It is an arithmetic number, because the mean of its divisors is an integer number (636440062104).

Almost surely, 2^{60060000006006} is an apocalyptic number.

60060000006006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60060000006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81464327949312).

60060000006006 is an abundant number, since it is smaller than the sum of its proper divisors (102868655892618).

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

60060000006006 is a wasteful number, since it uses less digits than its factorization.

60060000006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31639.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 6006000000 and 6006, that multiplied together give a square (36072036000000 = 6006000²).

The spelling of 60060000006006 in words is "sixty trillion, sixty billion, six thousand, six", and thus it is an eban number.