60105082685472 has 768 divisors, whose sum is σ = 198569590732800. Its totient is φ = 17531582976000.

The previous prime is 60105082685467. The next prime is 60105082685503. The reversal of 60105082685472 is 27458628050106.

60105082685472 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 508 + 2 + 68 + 5 + 4 + 72 = 666.

It is a super-2 number, since 2×60105082685472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7764507522 + ... + 7764515262.

It is an arithmetic number, because the mean of its divisors is an integer number (258554154600).

Almost surely, 2^{60105082685472} 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 60105082685472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99284795366400).

60105082685472 is an abundant number, since it is smaller than the sum of its proper divisors (138464508047328).

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

60105082685472 is a wasteful number, since it uses less digits than its factorization.

60105082685472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 60105082685472 in words is "sixty trillion, one hundred five billion, eighty-two million, six hundred eighty-five thousand, four hundred seventy-two".