13252982400 has 768 divisors, whose sum is σ = 58737312000. Its totient is φ = 2848849920.

The previous prime is 13252982387. The next prime is 13252982401. The reversal of 13252982400 is 428925231.

It is a happy number.

13252982400 is a `hidden beast` number, since 1 + 325 + 2 + 98 + 240 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13252982401) 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, 10280956 + ... + 10282244.

It is an arithmetic number, because the mean of its divisors is an integer number (76480875).

Almost surely, 2^13252982400 is an apocalyptic number.

13252982400 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 13252982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29368656000).

13252982400 is an abundant number, since it is smaller than the sum of its proper divisors (45484329600).

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

13252982400 is a wasteful number, since it uses less digits than its factorization.

13252982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13252982400 in words is "thirteen billion, two hundred fifty-two million, nine hundred eighty-two thousand, four hundred".