59420848914064 has 135 divisors (see below), whose sum is σ = 129737655852987. Its totient is φ = 26344542259200.

The previous prime is 59420848913977. The next prime is 59420848914083. The reversal of 59420848914064 is 46041984802495.

The square root of 59420848914064 is 7708492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30684730784400 + 28736118129664 = 5539380^2 + 5360608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59420848913987 and 59420848914005.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13906117432 + ... + 13906121704.

Almost surely, 2^{59420848914064} is an apocalyptic number.

59420848914064 is the 7708492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59420848914064

59420848914064 is an abundant number, since it is smaller than the sum of its proper divisors (70316806938923).

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

59420848914064 is an frugal number, since it uses more digits than its factorization.

59420848914064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 59420848914064 in words is "fifty-nine trillion, four hundred twenty billion, eight hundred forty-eight million, nine hundred fourteen thousand, sixty-four".