10480675581600 has 864 divisors, whose sum is σ = 40065300656640. Its totient is φ = 2372695234560.

The previous prime is 10480675581557. The next prime is 10480675581613. The reversal of 10480675581600 is 618557608401.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6881598439 + ... + 6881599961.

It is an arithmetic number, because the mean of its divisors is an integer number (46371875760).

Almost surely, 2^{10480675581600} is an apocalyptic number.

10480675581600 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 10480675581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032650328320).

10480675581600 is an abundant number, since it is smaller than the sum of its proper divisors (29584625075040).

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

10480675581600 is a wasteful number, since it uses less digits than its factorization.

10480675581600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 10480675581600 in words is "ten trillion, four hundred eighty billion, six hundred seventy-five million, five hundred eighty-one thousand, six hundred".