5420904652800 has 4032 divisors, whose sum is σ = 26586542102400. Its totient is φ = 1083553873920.

The previous prime is 5420904652783. The next prime is 5420904652829. The reversal of 5420904652800 is 82564090245.

5420904652800 is a `hidden beast` number, since 5 + 4 + 20 + 90 + 465 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285310771191 + ... + 285310771209.

It is an arithmetic number, because the mean of its divisors is an integer number (6593884450).

Almost surely, 2^{5420904652800} is an apocalyptic number.

5420904652800 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 5420904652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293271051200).

5420904652800 is an abundant number, since it is smaller than the sum of its proper divisors (21165637449600).

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

5420904652800 is an equidigital number, since it uses as much as digits as its factorization.

5420904652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5420904652800 in words is "five trillion, four hundred twenty billion, nine hundred four million, six hundred fifty-two thousand, eight hundred".