10509528384 has 336 divisors, whose sum is σ = 33443923968. Its totient is φ = 3260694528.

The previous prime is 10509528331. The next prime is 10509528409. The reversal of 10509528384 is 48382590501.

10509528384 is a `hidden beast` number, since 10 + 509 + 52 + 8 + 3 + 84 = 666.

It is a super-2 number, since 2×10509528384² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 33576612 + ... + 33576924.

It is an arithmetic number, because the mean of its divisors is an integer number (99535488).

Almost surely, 2^10509528384 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 10509528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721961984).

10509528384 is an abundant number, since it is smaller than the sum of its proper divisors (22934395584).

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

10509528384 is a wasteful number, since it uses less digits than its factorization.

10509528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10509528384 in words is "ten billion, five hundred nine million, five hundred twenty-eight thousand, three hundred eighty-four".