95880306838801 has 27 divisors (see below), whose sum is σ = 98373931593147. Its totient is φ = 93449490116400.

The previous prime is 95880306838781. The next prime is 95880306838807. The reversal of 95880306838801 is 10883860308859.

The square root of 95880306838801 is 9791849.

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

It can be written as a sum of positive squares in only one way, i.e., 92120663398401 + 3759643440400 = 9597951^2 + 1938980^2 .

It is not a de Polignac number, because 95880306838801 - 2²³ = 95880298450193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95880306838807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66261441460 + ... + 66261442906.

Almost surely, 2^{95880306838801} is an apocalyptic number.

95880306838801 is the 9791849-th square number.

95880306838801 is the 4895925-th centered octagonal number.

It is an amenable number.

95880306838801 is a deficient number, since it is larger than the sum of its proper divisors (2493624754346).

95880306838801 is an frugal number, since it uses more digits than its factorization.

95880306838801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 67.

The spelling of 95880306838801 in words is "ninety-five trillion, eight hundred eighty billion, three hundred six million, eight hundred thirty-eight thousand, eight hundred one".