6060268268100 has 576 divisors, whose sum is σ = 20653678080000. Its totient is φ = 1521255859200.

The previous prime is 6060268268083. The next prime is 6060268268147. The reversal of 6060268268100 is 18628620606.

6060268268100 is a `hidden beast` number, since 6 + 0 + 602 + 6 + 8 + 26 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×6060268268100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566961051 + ... + 3566962749.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080000).

Almost surely, 2^{6060268268100} is an apocalyptic number.

6060268268100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6060268268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326839040000).

6060268268100 is an abundant number, since it is smaller than the sum of its proper divisors (14593409811900).

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

6060268268100 is a wasteful number, since it uses less digits than its factorization.

6060268268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6060268268100 in words is "six trillion, sixty billion, two hundred sixty-eight million, two hundred sixty-eight thousand, one hundred".