10485810720 has 768 divisors, whose sum is σ = 47377612800. Its totient is φ = 2101800960.

The previous prime is 10485810719. The next prime is 10485810743. The reversal of 10485810720 is 2701858401.

10485810720 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 581 + 0 + 72 + 0 = 666.

It is a super-3 number, since 3×10485810720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9646017 + ... + 9647103.

It is an arithmetic number, because the mean of its divisors is an integer number (61689600).

Almost surely, 2^10485810720 is an apocalyptic number.

10485810720 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 10485810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688806400).

10485810720 is an abundant number, since it is smaller than the sum of its proper divisors (36891802080).

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

10485810720 is a wasteful number, since it uses less digits than its factorization.

10485810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10485810720 in words is "ten billion, four hundred eighty-five million, eight hundred ten thousand, seven hundred twenty".