59640288664320 has 4608 divisors, whose sum is σ = 286932860928000. Its totient is φ = 11377315676160.

The previous prime is 59640288664249. The next prime is 59640288664357. The reversal of 59640288664320 is 2346688204695.

It is a happy number.

59640288664320 is a `hidden beast` number, since 5 + 9 + 64 + 0 + 2 + 88 + 66 + 432 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 220074865785 + ... + 220074866055.

It is an arithmetic number, because the mean of its divisors is an integer number (62268416000).

Almost surely, 2^{59640288664320} 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 59640288664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143466430464000).

59640288664320 is an abundant number, since it is smaller than the sum of its proper divisors (227292572263680).

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

59640288664320 is a wasteful number, since it uses less digits than its factorization.

59640288664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 59640288664320 in words is "fifty-nine trillion, six hundred forty billion, two hundred eighty-eight million, six hundred sixty-four thousand, three hundred twenty".