10534908384 has 576 divisors, whose sum is σ = 41526535680. Its totient is φ = 2523156480.

The previous prime is 10534908383. The next prime is 10534908403. The reversal of 10534908384 is 48380943501.

10534908384 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 490 + 83 + 84 = 666.

It is a super-2 number, since 2×10534908384² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534908383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11242764 + ... + 11243700.

It is an arithmetic number, because the mean of its divisors is an integer number (72094680).

Almost surely, 2^10534908384 is an apocalyptic number.

10534908384 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 10534908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763267840).

10534908384 is an abundant number, since it is smaller than the sum of its proper divisors (30991627296).

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

10534908384 is a wasteful number, since it uses less digits than its factorization.

10534908384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10534908384 in words is "ten billion, five hundred thirty-four million, nine hundred eight thousand, three hundred eighty-four".