10528455600 has 960 divisors, whose sum is σ = 43397222400. Its totient is φ = 2405376000.

The previous prime is 10528455599. The next prime is 10528455607. The reversal of 10528455600 is 655482501.

10528455600 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 45 + 5 + 600 = 666.

It is a super-2 number, since 2×10528455600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528455607) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 178448371 + ... + 178448429.

It is an arithmetic number, because the mean of its divisors is an integer number (45205440).

Almost surely, 2^10528455600 is an apocalyptic number.

10528455600 is a gapful number since it is divisible by the number (10) 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 10528455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21698611200).

10528455600 is an abundant number, since it is smaller than the sum of its proper divisors (32868766800).

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

10528455600 is a wasteful number, since it uses less digits than its factorization.

10528455600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The spelling of 10528455600 in words is "ten billion, five hundred twenty-eight million, four hundred fifty-five thousand, six hundred".