10587741696 has 240 divisors, whose sum is σ = 35501308128. Its totient is φ = 2974924800.

The previous prime is 10587741673. The next prime is 10587741709. The reversal of 10587741696 is 69614778501.

10587741696 is a `hidden beast` number, since 10 + 587 + 7 + 41 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×10587741696² (a number of 21 digits) contains 22 as substring.

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, 1964926 + ... + 1970306.

Almost surely, 2^10587741696 is an apocalyptic number.

10587741696 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 10587741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750654064).

10587741696 is an abundant number, since it is smaller than the sum of its proper divisors (24913566432).

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

10587741696 is an equidigital number, since it uses as much as digits as its factorization.

10587741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10587741696 in words is "ten billion, five hundred eighty-seven million, seven hundred forty-one thousand, six hundred ninety-six".