13432559078400 has 1056 divisors, whose sum is σ = 58263638507520. Its totient is φ = 2644254720000.

The previous prime is 13432559078399. The next prime is 13432559078413. The reversal of 13432559078400 is 487095523431.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112298625 + ... + 112418175.

Almost surely, 2^{13432559078400} is an apocalyptic number.

13432559078400 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 13432559078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131819253760).

13432559078400 is an abundant number, since it is smaller than the sum of its proper divisors (44831079429120).

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

13432559078400 is a wasteful number, since it uses less digits than its factorization.

13432559078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119621 (or 119598 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 13432559078400 in words is "thirteen trillion, four hundred thirty-two billion, five hundred fifty-nine million, seventy-eight thousand, four hundred".