99677160984025 has 81 divisors (see below), whose sum is σ = 133203956482341. Its totient is φ = 73976936878080.

The previous prime is 99677160983971. The next prime is 99677160984047. The reversal of 99677160984025 is 52048906177699.

The square root of 99677160984025 is 9983845.

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

It can be written as a sum of positive squares in 40 ways, for example, as 42718080312649 + 56959080671376 = 6535907^2 + 7547124^2 .

It is not a de Polignac number, because 99677160984025 - 2¹⁵ = 99677160951257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61949757421 + ... + 61949759029.

Almost surely, 2^{99677160984025} is an apocalyptic number.

99677160984025 is the 9983845-th square number.

99677160984025 is the 4991923-rd centered octagonal number.

It is an amenable number.

99677160984025 is a deficient number, since it is larger than the sum of its proper divisors (33526795498316).

99677160984025 is an frugal number, since it uses more digits than its factorization.

99677160984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 99677160984025 in words is "ninety-nine trillion, six hundred seventy-seven billion, one hundred sixty million, nine hundred eighty-four thousand, twenty-five".