10484208967680 has 2016 divisors, whose sum is σ = 45333087367680. Its totient is φ = 2289732157440.

The previous prime is 10484208967651. The next prime is 10484208967691. The reversal of 10484208967680 is 8676980248401.

10484208967680 is a `hidden beast` number, since 1 + 0 + 48 + 420 + 8 + 96 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 132711505881 + ... + 132711505959.

It is an arithmetic number, because the mean of its divisors is an integer number (22486650480).

Almost surely, 2^{10484208967680} is an apocalyptic number.

10484208967680 is a gapful number since it is divisible by the number (10) 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 10484208967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666543683840).

10484208967680 is an abundant number, since it is smaller than the sum of its proper divisors (34848878400000).

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

10484208967680 is an frugal number, since it uses more digits than its factorization.

10484208967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10484208967680 in words is "ten trillion, four hundred eighty-four billion, two hundred eight million, nine hundred sixty-seven thousand, six hundred eighty".