10587956652 has 216 divisors, whose sum is σ = 33641886096. Its totient is φ = 2782999296.

The previous prime is 10587956633. The next prime is 10587956683. The reversal of 10587956652 is 25665978501.

10587956652 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 79 + 566 + 5 + 2 = 666.

It is a super-2 number, since 2×10587956652² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9103423 + ... + 9104585.

Almost surely, 2^10587956652 is an apocalyptic number.

10587956652 is a gapful number since it is divisible by the number (12) 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 10587956652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820943048).

10587956652 is an abundant number, since it is smaller than the sum of its proper divisors (23053929444).

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

10587956652 is a wasteful number, since it uses less digits than its factorization.

10587956652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10587956652 in words is "ten billion, five hundred eighty-seven million, nine hundred fifty-six thousand, six hundred fifty-two".