59672519590401 has 15 divisors (see below), whose sum is σ = 89140534354993. Its totient is φ = 39781633378140.

The previous prime is 59672519590399. The next prime is 59672519590427. The reversal of 59672519590401 is 10409591527695.

The square root of 59672519590401 is 7724799.

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

59672519590401 is a `hidden beast` number, since 5 + 9 + 6 + 7 + 2 + 51 + 95 + 90 + 401 = 666.

It is not a de Polignac number, because 59672519590401 - 2¹ = 59672519590399 is a prime.

It is a super-2 number, since 2×59672519590401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (59672519590501) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 69094036 + ... + 69952346.

Almost surely, 2^{59672519590401} is an apocalyptic number.

59672519590401 is the 7724799-th square number.

59672519590401 is the 3862400-th centered octagonal number.

It is an amenable number.

59672519590401 is a deficient number, since it is larger than the sum of its proper divisors (29468014764592).

59672519590401 is an frugal number, since it uses more digits than its factorization.

59672519590401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716634 (or 858314 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 59672519590401 in words is "fifty-nine trillion, six hundred seventy-two billion, five hundred nineteen million, five hundred ninety thousand, four hundred one".