10506519072 has 288 divisors, whose sum is σ = 37278259200. Its totient is φ = 2843589888.

The previous prime is 10506519059. The next prime is 10506519097. The reversal of 10506519072 is 27091560501.

10506519072 is a `hidden beast` number, since 10 + 506 + 51 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10506519072² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029129 + ... + 1039287.

It is an arithmetic number, because the mean of its divisors is an integer number (129438400).

Almost surely, 2^10506519072 is an apocalyptic number.

10506519072 is a gapful number since it is divisible by the number (12) 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 10506519072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

10506519072 is an abundant number, since it is smaller than the sum of its proper divisors (26771740128).

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

10506519072 is a wasteful number, since it uses less digits than its factorization.

10506519072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10506519072 in words is "ten billion, five hundred six million, five hundred nineteen thousand, seventy-two".