10329880264704 has 1600 divisors, whose sum is σ = 41607724435200. Its totient is φ = 2476694568960.

The previous prime is 10329880264603. The next prime is 10329880264729. The reversal of 10329880264704 is 40746208892301.

10329880264704 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 98 + 80 + 2 + 6 + 470 + 4 = 666.

It is a super-2 number, since 2×10329880264704² (a number of 27 digits) contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 794606174202 + ... + 794606174214.

It is an arithmetic number, because the mean of its divisors is an integer number (26004827772).

Almost surely, 2^{10329880264704} is an apocalyptic number.

10329880264704 is a gapful number since it is divisible by the number (14) 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 10329880264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803862217600).

10329880264704 is an abundant number, since it is smaller than the sum of its proper divisors (31277844170496).

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

10329880264704 is an frugal number, since it uses more digits than its factorization.

10329880264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10329880264704 in words is "ten trillion, three hundred twenty-nine billion, eight hundred eighty million, two hundred sixty-four thousand, seven hundred four".