60480064195200 has 960 divisors, whose sum is σ = 246849323887320. Its totient is φ = 14485008384000.

The previous prime is 60480064195127. The next prime is 60480064195249. The reversal of 60480064195200 is 259146008406.

60480064195200 is a `hidden beast` number, since 6 + 0 + 4 + 80 + 0 + 6 + 41 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13589014123584 + 46891050071616 = 3686328^2 + 6847704^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 124432650 + ... + 124917750.

Almost surely, 2^{60480064195200} is an apocalyptic number.

60480064195200 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 60480064195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123424661943660).

60480064195200 is an abundant number, since it is smaller than the sum of its proper divisors (186369259692120).

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

60480064195200 is a wasteful number, since it uses less digits than its factorization.

60480064195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485187 (or 485161 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 60480064195200 in words is "sixty trillion, four hundred eighty billion, sixty-four million, one hundred ninety-five thousand, two hundred".