13352251838400 has 756 divisors, whose sum is σ = 48517503500232. Its totient is φ = 3482680320000.

The previous prime is 13352251838399. The next prime is 13352251838521. The reversal of 13352251838400 is 483815225331.

13352251838400 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 225 + 18 + 3 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11305885810 + ... + 11305886990.

Almost surely, 2^{13352251838400} is an apocalyptic number.

13352251838400 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 13352251838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258751750116).

13352251838400 is an abundant number, since it is smaller than the sum of its proper divisors (35165251661832).

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

13352251838400 is a wasteful number, since it uses less digits than its factorization.

13352251838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13352251838400 in words is "thirteen trillion, three hundred fifty-two billion, two hundred fifty-one million, eight hundred thirty-eight thousand, four hundred".