59946606720 has 1536 divisors, whose sum is σ = 286461826560. Its totient is φ = 11147673600.

The previous prime is 59946606667. The next prime is 59946606763. The reversal of 59946606720 is 2760664995.

59946606720 is a `hidden beast` number, since 5 + 9 + 9 + 4 + 6 + 606 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213332980 + ... + 213333260.

It is an arithmetic number, because the mean of its divisors is an integer number (186498585).

Almost surely, 2^59946606720 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 59946606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143230913280).

59946606720 is an abundant number, since it is smaller than the sum of its proper divisors (226515219840).

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

59946606720 is a wasteful number, since it uses less digits than its factorization.

59946606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 5994660 and 6720, that added together give a triangular number (6001380 = T₃₄₆₄).

The spelling of 59946606720 in words is "fifty-nine billion, nine hundred forty-six million, six hundred six thousand, seven hundred twenty".