220959257702401 has 8 divisors (see below), whose sum is σ = 221097747413664. Its totient is φ = 220820803812000.

The previous prime is 220959257702389. The next prime is 220959257702441. The reversal of 220959257702401 is 104207752959022.

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

It is a cyclic number.

It is not a de Polignac number, because 220959257702401 - 2⁷ = 220959257702273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220959257702441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390885 + ... + 21293581.

It is an arithmetic number, because the mean of its divisors is an integer number (27637218426708).

Almost surely, 2^{220959257702401} is an apocalyptic number.

It is an amenable number.

220959257702401 is a deficient number, since it is larger than the sum of its proper divisors (138489711263).

220959257702401 is a wasteful number, since it uses less digits than its factorization.

220959257702401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910431.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 220959257702401 in words is "two hundred twenty trillion, nine hundred fifty-nine billion, two hundred fifty-seven million, seven hundred two thousand, four hundred one".