10715084160 has 256 divisors, whose sum is σ = 37478488320. Its totient is φ = 2582323200.

The previous prime is 10715084119. The next prime is 10715084161. The reversal of 10715084160 is 6148051701.

It is a happy number.

10715084160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10715084160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10715084161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3821319 + ... + 3824121.

It is an arithmetic number, because the mean of its divisors is an integer number (146400345).

Almost surely, 2^10715084160 is an apocalyptic number.

10715084160 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 10715084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739244160).

10715084160 is an abundant number, since it is smaller than the sum of its proper divisors (26763404160).

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

10715084160 is a wasteful number, since it uses less digits than its factorization.

10715084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10715084160 in words is "ten billion, seven hundred fifteen million, eighty-four thousand, one hundred sixty".