9975338957376 has 567 divisors, whose sum is σ = 31722393606267. Its totient is φ = 2995656468480.

The previous prime is 9975338957357. The next prime is 9975338957447. The reversal of 9975338957376 is 6737598335799.

The square root of 9975338957376 is 3158376.

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

9975338957376 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 3 + 38 + 9 + 573 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258901862976 + 9716437094400 = 508824^2 + 3117120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9975338957295 and 9975338957304.

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, 52226905441 + ... + 52226905631.

Almost surely, 2^{9975338957376} is an apocalyptic number.

9975338957376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9975338957376 is the 3158376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975338957376

9975338957376 is an abundant number, since it is smaller than the sum of its proper divisors (21747054648891).

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

9975338957376 is a wasteful number, since it uses less digits than its factorization.

9975338957376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 262 counting only the distinct ones).

The product of its digits is 8101522800, while the sum is 81.

Multiplying 9975338957376 by its sum of digits (81), we get a square (808002455547456 = 28425384²).

The spelling of 9975338957376 in words is "nine trillion, nine hundred seventy-five billion, three hundred thirty-eight million, nine hundred fifty-seven thousand, three hundred seventy-six".