7917728810201 has 24 divisors (see below), whose sum is σ = 9371211603840. Its totient is φ = 6668960407200.

The previous prime is 7917728810171. The next prime is 7917728810213. The reversal of 7917728810201 is 1020188277197.

It is a happy number.

It is not a de Polignac number, because 7917728810201 - 2⁶ = 7917728810137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7917728810701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030130 + ... + 5663691.

It is an arithmetic number, because the mean of its divisors is an integer number (390467150160).

Almost surely, 2^{7917728810201} is an apocalyptic number.

It is an amenable number.

7917728810201 is a deficient number, since it is larger than the sum of its proper divisors (1453482793639).

7917728810201 is a wasteful number, since it uses less digits than its factorization.

7917728810201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694125 (or 9694118 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 53.

The spelling of 7917728810201 in words is "seven trillion, nine hundred seventeen billion, seven hundred twenty-eight million, eight hundred ten thousand, two hundred one".