10531915776 has 144 divisors (see below), whose sum is σ = 30994907580. Its totient is φ = 3444080640.

The previous prime is 10531915721. The next prime is 10531915811. The reversal of 10531915776 is 67751913501.

10531915776 is a `hidden beast` number, since 10 + 53 + 19 + 1 + 577 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10531685376 + 230400 = 102624^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10531915776² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971506 + ... + 982286.

Almost surely, 2^10531915776 is an apocalyptic number.

10531915776 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 10531915776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15497453790).

10531915776 is an abundant number, since it is smaller than the sum of its proper divisors (20462991804).

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

10531915776 is a wasteful number, since it uses less digits than its factorization.

10531915776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 10531915776 in words is "ten billion, five hundred thirty-one million, nine hundred fifteen thousand, seven hundred seventy-six".