6105252643020 has 480 divisors, whose sum is σ = 19473121084032. Its totient is φ = 1601135050752.

The previous prime is 6105252642971. The next prime is 6105252643037. The reversal of 6105252643020 is 203462525016.

6105252643020 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 2 + 5 + 2 + 643 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19259471902 + ... + 19259472218.

Almost surely, 2^{6105252643020} is an apocalyptic number.

6105252643020 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 6105252643020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736560542016).

6105252643020 is an abundant number, since it is smaller than the sum of its proper divisors (13367868441012).

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

6105252643020 is a wasteful number, since it uses less digits than its factorization.

6105252643020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 6105252643020 in words is "six trillion, one hundred five billion, two hundred fifty-two million, six hundred forty-three thousand, twenty".