83159826878401 has 81 divisors (see below), whose sum is σ = 109528183593801. Its totient is φ = 62921611456704.

The previous prime is 83159826878363. The next prime is 83159826878407. The reversal of 83159826878401 is 10487862895138.

It is a happy number.

The square root of 83159826878401 is 9119201.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10567382064001 + 72592444814400 = 3250751^2 + 8520120^2 .

It is not a de Polignac number, because 83159826878401 - 2⁷ = 83159826878273 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83159826878407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19086485515 + ... + 19086489871.

It is a 1-persistent number, because it is pandigital, but 2⋅83159826878401 = 166319653756802 is not.

Almost surely, 2^{83159826878401} is an apocalyptic number.

83159826878401 is the 9119201-st square number.

83159826878401 is the 4559601-st centered octagonal number.

It is an amenable number.

83159826878401 is a deficient number, since it is larger than the sum of its proper divisors (26368356715400).

83159826878401 is an frugal number, since it uses more digits than its factorization.

83159826878401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 70.

The spelling of 83159826878401 in words is "eighty-three trillion, one hundred fifty-nine billion, eight hundred twenty-six million, eight hundred seventy-eight thousand, four hundred one".