10506415584 has 48 divisors (see below), whose sum is σ = 31519248768. Its totient is φ = 3001832832.

The previous prime is 10506415567. The next prime is 10506415603. The reversal of 10506415584 is 48551460501.

10506415584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10506415584² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7816602 + ... + 7817945.

It is an arithmetic number, because the mean of its divisors is an integer number (656651016).

Almost surely, 2^10506415584 is an apocalyptic number.

10506415584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10506415584 is an abundant number, since it is smaller than the sum of its proper divisors (21012833184).

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

10506415584 is a wasteful number, since it uses less digits than its factorization.

10506415584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634567 (or 15634559 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 10506415584 in words is "ten billion, five hundred six million, four hundred fifteen thousand, five hundred eighty-four".