5455794880800 has 864 divisors, whose sum is σ = 21148677897984. Its totient is φ = 1312505856000.

The previous prime is 5455794880793. The next prime is 5455794880807. The reversal of 5455794880800 is 80884975545.

5455794880800 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 79 + 488 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5455794880793) and next prime (5455794880807).

It is not an unprimeable number, because it can be changed into a prime (5455794880807) by changing a digit.

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, 9455450112 + ... + 9455450688.

It is an arithmetic number, because the mean of its divisors is an integer number (24477636456).

Almost surely, 2^{5455794880800} is an apocalyptic number.

5455794880800 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 5455794880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574338948992).

5455794880800 is an abundant number, since it is smaller than the sum of its proper divisors (15692883017184).

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

5455794880800 is a wasteful number, since it uses less digits than its factorization.

5455794880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 5455794880800 in words is "five trillion, four hundred fifty-five billion, seven hundred ninety-four million, eight hundred eighty thousand, eight hundred".