60300212766144 has 112 divisors (see below), whose sum is σ = 171881154096288. Its totient is φ = 18546978705408.

The previous prime is 60300212766133. The next prime is 60300212766163. The reversal of 60300212766144 is 44166721200306.

It is a happy number.

60300212766144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×60300212766144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60300212766096 and 60300212766105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2169514 + ... + 11194070.

It is an arithmetic number, because the mean of its divisors is an integer number (1534653161574).

Almost surely, 2^{60300212766144} is an apocalyptic number.

60300212766144 is a gapful number since it is divisible by the number (64) 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 60300212766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85940577048144).

60300212766144 is an abundant number, since it is smaller than the sum of its proper divisors (111580941330144).

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

60300212766144 is a wasteful number, since it uses less digits than its factorization.

60300212766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027262 (or 9027252 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 60300212766144 in words is "sixty trillion, three hundred billion, two hundred twelve million, seven hundred sixty-six thousand, one hundred forty-four".