13528774800 has 360 divisors, whose sum is σ = 49472280000. Its totient is φ = 3416878080.

The previous prime is 13528774789. The next prime is 13528774843. The reversal of 13528774800 is 847782531.

13528774800 is a `hidden beast` number, since 13 + 528 + 77 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9024451 + ... + 9025949.

It is an arithmetic number, because the mean of its divisors is an integer number (137423000).

Almost surely, 2^13528774800 is an apocalyptic number.

13528774800 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 13528774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736140000).

13528774800 is an abundant number, since it is smaller than the sum of its proper divisors (35943505200).

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

13528774800 is a wasteful number, since it uses less digits than its factorization.

13528774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13528774800 in words is "thirteen billion, five hundred twenty-eight million, seven hundred seventy-four thousand, eight hundred".