99091672070400 has 2187 divisors, whose sum is σ = 390904748594451. Its totient is φ = 23944267284480.

The previous prime is 99091672070357. The next prime is 99091672070411. The reversal of 99091672070400 is 407027619099.

The square root of 99091672070400 is 9954480.

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

99091672070400 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 167 + 2 + 0 + 70 + 400 = 666.

99091672070400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9406832507136 + 89684839563264 = 3067056^2 + 9470208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1679519865571 + ... + 1679519865629.

Almost surely, 2^{99091672070400} is an apocalyptic number.

99091672070400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99091672070400 is the 9954480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99091672070400

99091672070400 is an abundant number, since it is smaller than the sum of its proper divisors (291813076524051).

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

99091672070400 is a wasteful number, since it uses less digits than its factorization.

99091672070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

Adding to 99091672070400 its reverse (407027619099), we get a palindrome (99498699689499).

The spelling of 99091672070400 in words is "ninety-nine trillion, ninety-one billion, six hundred seventy-two million, seventy thousand, four hundred".