59666945524992 has 576 divisors, whose sum is σ = 190855103362560. Its totient is φ = 18278394494976.

The previous prime is 59666945524969. The next prime is 59666945524999. The reversal of 59666945524992 is 29942554966695.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59666945524999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38669438973 + ... + 38669440515.

It is an arithmetic number, because the mean of its divisors is an integer number (331345665560).

Almost surely, 2^{59666945524992} is an apocalyptic number.

59666945524992 is a gapful number since it is divisible by the number (52) 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 59666945524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95427551681280).

59666945524992 is an abundant number, since it is smaller than the sum of its proper divisors (131188157837568).

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

59666945524992 is a wasteful number, since it uses less digits than its factorization.

59666945524992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3175 counting only the distinct ones).

The product of its digits is 11337408000, while the sum is 81.

The spelling of 59666945524992 in words is "fifty-nine trillion, six hundred sixty-six billion, nine hundred forty-five million, five hundred twenty-four thousand, nine hundred ninety-two".