59935343537664 has 640 divisors, whose sum is σ = 214756147584000. Its totient is φ = 16111679569920.

The previous prime is 59935343537639. The next prime is 59935343537683. The reversal of 59935343537664 is 46673534353995.

59935343537664 is a `hidden beast` number, since 5 + 99 + 35 + 3 + 435 + 3 + 76 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59935343537592 and 59935343537601.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8687537287 + ... + 8687544185.

It is an arithmetic number, because the mean of its divisors is an integer number (335556480600).

Almost surely, 2^{59935343537664} is an apocalyptic number.

59935343537664 is a gapful number since it is divisible by the number (54) 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 59935343537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107378073792000).

59935343537664 is an abundant number, since it is smaller than the sum of its proper divisors (154820804046336).

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

59935343537664 is a wasteful number, since it uses less digits than its factorization.

59935343537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12209 counting only the distinct ones).

The product of its digits is 3306744000, while the sum is 72.

The spelling of 59935343537664 in words is "fifty-nine trillion, nine hundred thirty-five billion, three hundred forty-three million, five hundred thirty-seven thousand, six hundred sixty-four".