13406788612800 has 504 divisors, whose sum is σ = 53908097285952. Its totient is φ = 3250129536000.

The previous prime is 13406788612787. The next prime is 13406788612843. The reversal of 13406788612800 is 821688760431.

13406788612800 is a `hidden beast` number, since 1 + 3 + 406 + 78 + 86 + 12 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2709415 + ... + 5844185.

It is an arithmetic number, because the mean of its divisors is an integer number (106960510488).

Almost surely, 2^{13406788612800} is an apocalyptic number.

13406788612800 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 13406788612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26954048642976).

13406788612800 is an abundant number, since it is smaller than the sum of its proper divisors (40501308673152).

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

13406788612800 is a wasteful number, since it uses less digits than its factorization.

13406788612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134819 (or 3134792 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13406788612800 in words is "thirteen trillion, four hundred six billion, seven hundred eighty-eight million, six hundred twelve thousand, eight hundred".