91785560952401 has 16 divisors (see below), whose sum is σ = 93859878297600. Its totient is φ = 89716322697408.

The previous prime is 91785560952359. The next prime is 91785560952409. The reversal of 91785560952401 is 10425906558719.

It is a cyclic number.

It is not a de Polignac number, because 91785560952401 - 2²² = 91785556758097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91785560952409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463677635 + ... + 463875543.

It is an arithmetic number, because the mean of its divisors is an integer number (5866242393600).

Almost surely, 2^{91785560952401} is an apocalyptic number.

It is an amenable number.

91785560952401 is a deficient number, since it is larger than the sum of its proper divisors (2074317345199).

91785560952401 is a wasteful number, since it uses less digits than its factorization.

91785560952401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210688.

The product of its (nonzero) digits is 27216000, while the sum is 62.

The spelling of 91785560952401 in words is "ninety-one trillion, seven hundred eighty-five billion, five hundred sixty million, nine hundred fifty-two thousand, four hundred one".