13319782628400 has 720 divisors, whose sum is σ = 49834435079520. Its totient is φ = 3282215731200.

The previous prime is 13319782628371. The next prime is 13319782628423. The reversal of 13319782628400 is 482628791331.

It is a happy number.

13319782628400 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 9 + 7 + 8 + 2 + 628 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3686624994 + ... + 3686628606.

It is an arithmetic number, because the mean of its divisors is an integer number (69214493166).

Almost surely, 2^{13319782628400} is an apocalyptic number.

13319782628400 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 13319782628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917217539760).

13319782628400 is an abundant number, since it is smaller than the sum of its proper divisors (36514652451120).

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

13319782628400 is a wasteful number, since it uses less digits than its factorization.

13319782628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13319782628400 in words is "thirteen trillion, three hundred nineteen billion, seven hundred eighty-two million, six hundred twenty-eight thousand, four hundred".