5434781788800 has 3072 divisors, whose sum is σ = 26321965286400. Its totient is φ = 1062532546560.

The previous prime is 5434781788771. The next prime is 5434781788811. The reversal of 5434781788800 is 88871874345.

5434781788800 is a `hidden beast` number, since 5 + 4 + 3 + 478 + 1 + 7 + 88 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 9757238122 + ... + 9757238678.

It is an arithmetic number, because the mean of its divisors is an integer number (8568348075).

Almost surely, 2^{5434781788800} is an apocalyptic number.

5434781788800 is a gapful number since it is divisible by the number (50) 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 5434781788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160982643200).

5434781788800 is an abundant number, since it is smaller than the sum of its proper divisors (20887183497600).

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

5434781788800 is a wasteful number, since it uses less digits than its factorization.

5434781788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 5434781788800 in words is "five trillion, four hundred thirty-four billion, seven hundred eighty-one million, seven hundred eighty-eight thousand, eight hundred".