13520332800 has 864 divisors, whose sum is σ = 54433000440. Its totient is φ = 3185049600.

The previous prime is 13520332789. The next prime is 13520332831. The reversal of 13520332800 is 823302531.

13520332800 is a `hidden beast` number, since 1 + 352 + 0 + 33 + 280 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4875264 + 13515457536 = 2208^2 + 116256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221644770 + ... + 221644830.

Almost surely, 2^13520332800 is an apocalyptic number.

13520332800 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 13520332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216500220).

13520332800 is an abundant number, since it is smaller than the sum of its proper divisors (40912667640).

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

13520332800 is a wasteful number, since it uses less digits than its factorization.

13520332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13520332800 in words is "thirteen billion, five hundred twenty million, three hundred thirty-two thousand, eight hundred".