60873652224000 has 5760 divisors, whose sum is σ = 307739443415040. Its totient is φ = 11494490112000.

The previous prime is 60873652223977. The next prime is 60873652224037. The reversal of 60873652224000 is 42225637806.

60873652224000 is a `hidden beast` number, since 6 + 0 + 87 + 3 + 6 + 522 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2099091455986 + ... + 2099091456014.

It is an arithmetic number, because the mean of its divisors is an integer number (53426986704).

Almost surely, 2^{60873652224000} is an apocalyptic number.

60873652224000 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 60873652224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153869721707520).

60873652224000 is an abundant number, since it is smaller than the sum of its proper divisors (246865791191040).

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

60873652224000 is a wasteful number, since it uses less digits than its factorization.

60873652224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 60873652224000 in words is "sixty trillion, eight hundred seventy-three billion, six hundred fifty-two million, two hundred twenty-four thousand".