60454834042800 has 240 divisors, whose sum is σ = 205359769169280. Its totient is φ = 15149950341120.

The previous prime is 60454834042781. The next prime is 60454834042829. The reversal of 60454834042800 is 824043845406.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60454834042800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11195139 + ... + 15692061.

It is an arithmetic number, because the mean of its divisors is an integer number (855665704872).

Almost surely, 2^{60454834042800} is an apocalyptic number.

60454834042800 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 60454834042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102679884584640).

60454834042800 is an abundant number, since it is smaller than the sum of its proper divisors (144904935126480).

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

60454834042800 is a wasteful number, since it uses less digits than its factorization.

60454834042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497620 (or 4497609 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 60454834042800 in words is "sixty trillion, four hundred fifty-four billion, eight hundred thirty-four million, forty-two thousand, eight hundred".