10500777216 has 216 divisors, whose sum is σ = 31161462696. Its totient is φ = 3399352320.

The previous prime is 10500777173. The next prime is 10500777223. The reversal of 10500777216 is 61277700501.

10500777216 is a `hidden beast` number, since 1 + 0 + 500 + 77 + 72 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 359481600 + 10141295616 = 18960^2 + 100704^2 .

It is a super-2 number, since 2×10500777216² (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 23 ways as a sum of consecutive naturals, for example, 13798276 + ... + 13799036.

It is an arithmetic number, because the mean of its divisors is an integer number (144266031).

Almost surely, 2^10500777216 is an apocalyptic number.

10500777216 is a gapful number since it is divisible by the number (16) 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 10500777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580731348).

10500777216 is an abundant number, since it is smaller than the sum of its proper divisors (20660685480).

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

10500777216 is a wasteful number, since it uses less digits than its factorization.

10500777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 10500777216 in words is "ten billion, five hundred million, seven hundred seventy-seven thousand, two hundred sixteen".