10587821328 has 240 divisors, whose sum is σ = 34579024896. Its totient is φ = 2961826560.

The previous prime is 10587821303. The next prime is 10587821389. The reversal of 10587821328 is 82312878501.

10587821328 is a `hidden beast` number, since 10 + 587 + 8 + 21 + 32 + 8 = 666.

It is a super-2 number, since 2×10587821328² (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 47 ways as a sum of consecutive naturals, for example, 14249725 + ... + 14250467.

Almost surely, 2^10587821328 is an apocalyptic number.

10587821328 is a gapful number since it is divisible by the number (18) 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 10587821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289512448).

10587821328 is an abundant number, since it is smaller than the sum of its proper divisors (23991203568).

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

10587821328 is a wasteful number, since it uses less digits than its factorization.

10587821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10587821328 in words is "ten billion, five hundred eighty-seven million, eight hundred twenty-one thousand, three hundred twenty-eight".