59966972091360 has 288 divisors, whose sum is σ = 218522585998080. Its totient is φ = 14941714636800.

The previous prime is 59966972091349. The next prime is 59966972091361. The reversal of 59966972091360 is 6319027966995.

59966972091360 is a `hidden beast` number, since 5 + 9 + 96 + 6 + 97 + 2 + 0 + 91 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59966972091361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21866581 + ... + 24455700.

It is an arithmetic number, because the mean of its divisors is an integer number (758758979160).

Almost surely, 2^{59966972091360} is an apocalyptic number.

It is an amenable number.

59966972091360 is an abundant number, since it is smaller than the sum of its proper divisors (158555613906720).

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

59966972091360 is a wasteful number, since it uses less digits than its factorization.

59966972091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46322362 (or 46322351 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 59966972091360 in words is "fifty-nine trillion, nine hundred sixty-six billion, nine hundred seventy-two million, ninety-one thousand, three hundred sixty".