10716415584 has 96 divisors (see below), whose sum is σ = 32676408576. Its totient is φ = 3011627520.

The previous prime is 10716415573. The next prime is 10716415607. The reversal of 10716415584 is 48551461701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10716415584² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89722 + ... + 171705.

It is an arithmetic number, because the mean of its divisors is an integer number (340379256).

Almost surely, 2^10716415584 is an apocalyptic number.

10716415584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10716415584 is an abundant number, since it is smaller than the sum of its proper divisors (21959992992).

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

10716415584 is a wasteful number, since it uses less digits than its factorization.

10716415584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261508 (or 261500 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 10716415584 in words is "ten billion, seven hundred sixteen million, four hundred fifteen thousand, five hundred eighty-four".