5266004620800 has 1920 divisors, whose sum is σ = 22723565027328. Its totient is φ = 1043103744000.

The previous prime is 5266004620787. The next prime is 5266004620817. The reversal of 5266004620800 is 80264006625.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6691238007 + ... + 6691238793.

Almost surely, 2^{5266004620800} is an apocalyptic number.

5266004620800 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 5266004620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361782513664).

5266004620800 is an abundant number, since it is smaller than the sum of its proper divisors (17457560406528).

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

5266004620800 is a wasteful number, since it uses less digits than its factorization.

5266004620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 5266004620800 in words is "five trillion, two hundred sixty-six billion, four million, six hundred twenty thousand, eight hundred".