60010349062752 has 288 divisors, whose sum is σ = 194277342744576. Its totient is φ = 17392997529600.

The previous prime is 60010349062693. The next prime is 60010349062753. The reversal of 60010349062752 is 25726094301006.

60010349062752 is a `hidden beast` number, since 6 + 0 + 0 + 10 + 3 + 4 + 9 + 0 + 627 + 5 + 2 = 666.

60010349062752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 60010349062698 and 60010349062707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60010349062753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412884588 + ... + 1412927060.

It is an arithmetic number, because the mean of its divisors is an integer number (674574106752).

Almost surely, 2^{60010349062752} 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 60010349062752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97138671372288).

60010349062752 is an abundant number, since it is smaller than the sum of its proper divisors (134266993681824).

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

60010349062752 is a wasteful number, since it uses less digits than its factorization.

60010349062752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61914 (or 61903 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 60010349062752 in words is "sixty trillion, ten billion, three hundred forty-nine million, sixty-two thousand, seven hundred fifty-two".