59254985664 has 672 divisors, whose sum is σ = 218420167680. Its totient is φ = 14951153664.

The previous prime is 59254985659. The next prime is 59254985723. The reversal of 59254985664 is 46658945295.

It is a happy number.

59254985664 is a `hidden beast` number, since 5 + 9 + 2 + 549 + 85 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×59254985664² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225303997 + ... + 225304259.

Almost surely, 2^59254985664 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 59254985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109210083840).

59254985664 is an abundant number, since it is smaller than the sum of its proper divisors (159165182016).

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

59254985664 is a wasteful number, since it uses less digits than its factorization.

59254985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 59254985664 in words is "fifty-nine billion, two hundred fifty-four million, nine hundred eighty-five thousand, six hundred sixty-four".