60253574619168 has 1536 divisors, whose sum is σ = 221868431769600. Its totient is φ = 15536665976832.

The previous prime is 60253574619157. The next prime is 60253574619169. The reversal of 60253574619168 is 86191647535206.

It is a happy number.

60253574619168 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 3 + 5 + 7 + 4 + 619 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (60253574619169) 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 255 ways as a sum of consecutive naturals, for example, 22209204180 + ... + 22209206892.

It is an arithmetic number, because the mean of its divisors is an integer number (144445593600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅60253574619168 = 120507149238336, but 3⋅60253574619168 = 180760723857504 is not.

Almost surely, 2^{60253574619168} 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 60253574619168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110934215884800).

60253574619168 is an abundant number, since it is smaller than the sum of its proper divisors (161614857150432).

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

60253574619168 is a wasteful number, since it uses less digits than its factorization.

60253574619168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 60253574619168 in words is "sixty trillion, two hundred fifty-three billion, five hundred seventy-four million, six hundred nineteen thousand, one hundred sixty-eight".