59919164118009 has 45 divisors (see below), whose sum is σ = 104123416071807. Its totient is φ = 34239243686256.

The previous prime is 59919164117951. The next prime is 59919164118167. The reversal of 59919164118009 is 90081146191995.

It is a happy number.

The square root of 59919164118009 is 7740747.

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

59919164118009 is a `hidden beast` number, since 59 + 9 + 1 + 91 + 6 + 411 + 80 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52655384498409 + 7263779619600 = 7256403^2 + 2695140^2 .

It is not a de Polignac number, because 59919164118009 - 2⁹ = 59919164117497 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (59919164118509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 487605627 + ... + 487728495.

Almost surely, 2^{59919164118009} is an apocalyptic number.

59919164118009 is the 7740747-th square number.

59919164118009 is the 3870374-th centered octagonal number.

It is an amenable number.

59919164118009 is a deficient number, since it is larger than the sum of its proper divisors (44204251953798).

59919164118009 is an frugal number, since it uses more digits than its factorization.

59919164118009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245764 (or 122879 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 63.

The spelling of 59919164118009 in words is "fifty-nine trillion, nine hundred nineteen billion, one hundred sixty-four million, one hundred eighteen thousand, nine".