13183316780400 has 1080 divisors, whose sum is σ = 50672855301120. Its totient is φ = 3171747870720.

The previous prime is 13183316780357. The next prime is 13183316780401. The reversal of 13183316780400 is 408761338131.

13183316780400 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 3 + 3 + 167 + 80 + 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 not an unprimeable number, because it can be changed into a prime (13183316780401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4950549469 + ... + 4950552131.

It is an arithmetic number, because the mean of its divisors is an integer number (46919310464).

Almost surely, 2^{13183316780400} is an apocalyptic number.

13183316780400 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 13183316780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336427650560).

13183316780400 is an abundant number, since it is smaller than the sum of its proper divisors (37489538520720).

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

13183316780400 is a wasteful number, since it uses less digits than its factorization.

13183316780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13183316780400 in words is "thirteen trillion, one hundred eighty-three billion, three hundred sixteen million, seven hundred eighty thousand, four hundred".