905980172801 has 8 divisors (see below), whose sum is σ = 988395776544. Its totient is φ = 823573530720.

The previous prime is 905980172771. The next prime is 905980172803. The reversal of 905980172801 is 108271089509.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-905980172801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 905980172801.

It is not an unprimeable number, because it can be changed into a prime (905980172803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028155 + ... + 2434208.

It is an arithmetic number, because the mean of its divisors is an integer number (123549472068).

Almost surely, 2^905980172801 is an apocalyptic number.

It is an amenable number.

905980172801 is a deficient number, since it is larger than the sum of its proper divisors (82415603743).

905980172801 is a wasteful number, since it uses less digits than its factorization.

905980172801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480831.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 905980172801 in words is "nine hundred five billion, nine hundred eighty million, one hundred seventy-two thousand, eight hundred one".