60666652015200 has 2304 divisors, whose sum is σ = 286198962094080. Its totient is φ = 12026133504000.

The previous prime is 60666652015181. The next prime is 60666652015201. The reversal of 60666652015200 is 251025666606.

It is a happy number.

60666652015200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60666652015201) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 16104763717 + ... + 16104767483.

It is an arithmetic number, because the mean of its divisors is an integer number (124218299520).

Almost surely, 2^{60666652015200} is an apocalyptic number.

60666652015200 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 60666652015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143099481047040).

60666652015200 is an abundant number, since it is smaller than the sum of its proper divisors (225532310078880).

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

60666652015200 is a wasteful number, since it uses less digits than its factorization.

60666652015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 60666652015200 in words is "sixty trillion, six hundred sixty-six billion, six hundred fifty-two million, fifteen thousand, two hundred".