11053542528 has 640 divisors, whose sum is σ = 41232153600. Its totient is φ = 2876497920.

The previous prime is 11053542527. The next prime is 11053542529. The reversal of 11053542528 is 82524535011.

11053542528 is a `hidden beast` number, since 1 + 10 + 53 + 542 + 52 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11053542527) and next prime (11053542529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11053542492 and 11053542501.

It is not an unprimeable number, because it can be changed into a prime (11053542527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 356565873 + ... + 356565903.

It is an arithmetic number, because the mean of its divisors is an integer number (64425240).

Almost surely, 2^11053542528 is an apocalyptic number.

11053542528 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 11053542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20616076800).

11053542528 is an abundant number, since it is smaller than the sum of its proper divisors (30178611072).

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

11053542528 is an frugal number, since it uses more digits than its factorization.

11053542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11053542528 in words is "eleven billion, fifty-three million, five hundred forty-two thousand, five hundred twenty-eight".