6101712452160 has 1680 divisors, whose sum is σ = 24960111111936. Its totient is φ = 1406201389056.

The previous prime is 6101712452153. The next prime is 6101712452161. The reversal of 6101712452160 is 612542171016.

6101712452160 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 7 + 124 + 521 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6101712452161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12529183437 + ... + 12529183923.

Almost surely, 2^{6101712452160} is an apocalyptic number.

6101712452160 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 6101712452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480055555968).

6101712452160 is an abundant number, since it is smaller than the sum of its proper divisors (18858398659776).

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

6101712452160 is a wasteful number, since it uses less digits than its factorization.

6101712452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 6101712452160 in words is "six trillion, one hundred one billion, seven hundred twelve million, four hundred fifty-two thousand, one hundred sixty".