79961420673225 has 243 divisors, whose sum is σ = 180431554111029. Its totient is φ = 33736811472000.

The previous prime is 79961420673179. The next prime is 79961420673229. The reversal of 79961420673225 is 52237602416997.

The square root of 79961420673225 is 8942115.

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

79961420673225 is a `hidden beast` number, since 7 + 9 + 9 + 614 + 2 + 0 + 6 + 7 + 3 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20610174464649 + 59351246208576 = 4539843^2 + 7703976^2 .

It is not a de Polignac number, because 79961420673225 - 2¹⁵ = 79961420640457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (79961420673229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12205983700 + ... + 12205990250.

Almost surely, 2^{79961420673225} is an apocalyptic number.

79961420673225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

79961420673225 is the 8942115-th square number.

79961420673225 is the 4471058-th centered octagonal number.

It is an amenable number.

79961420673225 is an abundant number, since it is smaller than the sum of its proper divisors (100470133437804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79961420673225 is an equidigital number, since it uses as much as digits as its factorization.

79961420673225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13158 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 79961420673225 in words is "seventy-nine trillion, nine hundred sixty-one billion, four hundred twenty million, six hundred seventy-three thousand, two hundred twenty-five".