10485348388960 has 96 divisors (see below), whose sum is σ = 24867167482080. Its totient is φ = 4177980997632.

The previous prime is 10485348388909. The next prime is 10485348388973. The reversal of 10485348388960 is 6988384358401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83293746 + ... + 83419534.

It is an arithmetic number, because the mean of its divisors is an integer number (259032994605).

Almost surely, 2^{10485348388960} is an apocalyptic number.

10485348388960 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 10485348388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433583741040).

10485348388960 is an abundant number, since it is smaller than the sum of its proper divisors (14381819093120).

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

10485348388960 is a wasteful number, since it uses less digits than its factorization.

10485348388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127808 (or 127800 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 67.

The spelling of 10485348388960 in words is "ten trillion, four hundred eighty-five billion, three hundred forty-eight million, three hundred eighty-eight thousand, nine hundred sixty".