10687086592 has 150 divisors (see below), whose sum is σ = 26776435938. Its totient is φ = 4227858432.

The previous prime is 10687086569. The next prime is 10687086629. The reversal of 10687086592 is 29568078601.

It can be written as a sum of positive squares in only one way, i.e., 7398752256 + 3288334336 = 86016^2 + 57344^2 .

It is a super-2 number, since 2×10687086592² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 822083578 + ... + 822083590.

Almost surely, 2^10687086592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10687086592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388217969).

10687086592 is an abundant number, since it is smaller than the sum of its proper divisors (16089349346).

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

10687086592 is an frugal number, since it uses more digits than its factorization.

10687086592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

Multiplying 10687086592 by its sum of digits (52), we get a square (555728502784 = 745472²).

10687086592 divided by its sum of digits (52) gives a square (205520896 = 14336²).

The spelling of 10687086592 in words is "ten billion, six hundred eighty-seven million, eighty-six thousand, five hundred ninety-two".