59942695680 has 1728 divisors, whose sum is σ = 275145292800. Its totient is φ = 12415721472.

The previous prime is 59942695669. The next prime is 59942695693. The reversal of 59942695680 is 8659624995.

59942695680 is a `hidden beast` number, since 5 + 9 + 9 + 4 + 2 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 2606204149 + ... + 2606204171.

It is an arithmetic number, because the mean of its divisors is an integer number (159227600).

Almost surely, 2^59942695680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59942695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137572646400).

59942695680 is an abundant number, since it is smaller than the sum of its proper divisors (215202597120).

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

59942695680 is an equidigital number, since it uses as much as digits as its factorization.

59942695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 59942695680 in words is "fifty-nine billion, nine hundred forty-two million, six hundred ninety-five thousand, six hundred eighty".