10321538342976 has 672 divisors, whose sum is σ = 35511376223232. Its totient is φ = 2911535953920.

The previous prime is 10321538342939. The next prime is 10321538342987. The reversal of 10321538342976 is 67924383512301.

10321538342976 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 538 + 34 + 2 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3855634950 + ... + 3855637626.

It is an arithmetic number, because the mean of its divisors is an integer number (52844309856).

It is a 1-persistent number, because it is pandigital, but 2⋅10321538342976 = 20643076685952 is not.

Almost surely, 2^{10321538342976} is an apocalyptic number.

10321538342976 is a gapful number since it is divisible by the number (16) 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 10321538342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755688111616).

10321538342976 is an abundant number, since it is smaller than the sum of its proper divisors (25189837880256).

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

10321538342976 is a wasteful number, since it uses less digits than its factorization.

10321538342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10321538342976 in words is "ten trillion, three hundred twenty-one billion, five hundred thirty-eight million, three hundred forty-two thousand, nine hundred seventy-six".