10687257504 has 576 divisors, whose sum is σ = 40396164480. Its totient is φ = 2717245440.

The previous prime is 10687257481. The next prime is 10687257521. The reversal of 10687257504 is 40575278601.

10687257504 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 72 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×10687257504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10687257504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24681672 + ... + 24682104.

It is an arithmetic number, because the mean of its divisors is an integer number (70132230).

Almost surely, 2^10687257504 is an apocalyptic number.

10687257504 is a gapful number since it is divisible by the number (14) 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 10687257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198082240).

10687257504 is an abundant number, since it is smaller than the sum of its proper divisors (29708906976).

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

10687257504 is a wasteful number, since it uses less digits than its factorization.

10687257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10687257504 in words is "ten billion, six hundred eighty-seven million, two hundred fifty-seven thousand, five hundred four".