13355405485800 has 1536 divisors, whose sum is σ = 54716497920000. Its totient is φ = 2620599091200.

The previous prime is 13355405485729. The next prime is 13355405485823. The reversal of 13355405485800 is 858450455331.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 383 ways as a sum of consecutive naturals, for example, 9546393501 + ... + 9546394899.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720000).

Almost surely, 2^{13355405485800} is an apocalyptic number.

13355405485800 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 13355405485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358248960000).

13355405485800 is an abundant number, since it is smaller than the sum of its proper divisors (41361092434200).

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

13355405485800 is a wasteful number, since it uses less digits than its factorization.

13355405485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 13355405485800 in words is "thirteen trillion, three hundred fifty-five billion, four hundred five million, four hundred eighty-five thousand, eight hundred".