10171796963328 has 3600 divisors, whose sum is σ = 44578386800640. Its totient is φ = 2235904819200.

The previous prime is 10171796963291. The next prime is 10171796963329. The reversal of 10171796963328 is 82336969717101.

10171796963328 is a `hidden beast` number, since 1 + 0 + 171 + 79 + 69 + 6 + 332 + 8 = 666.

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 (10171796963329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 328122482673 + ... + 328122482703.

Almost surely, 2^{10171796963328} is an apocalyptic number.

10171796963328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10171796963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289193400320).

10171796963328 is an abundant number, since it is smaller than the sum of its proper divisors (34406589837312).

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

10171796963328 is a wasteful number, since it uses less digits than its factorization.

10171796963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 10171796963328 in words is "ten trillion, one hundred seventy-one billion, seven hundred ninety-six million, nine hundred sixty-three thousand, three hundred twenty-eight".