5621258649600 has 1584 divisors, whose sum is σ = 23778678111840. Its totient is φ = 1291006771200.

The previous prime is 5621258649571. The next prime is 5621258649607. The reversal of 5621258649600 is 69468521265.

5621258649600 is a `hidden beast` number, since 5 + 6 + 2 + 1 + 25 + 8 + 6 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5621258649607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295855718391 + ... + 295855718409.

Almost surely, 2^{5621258649600} is an apocalyptic number.

5621258649600 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 5621258649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11889339055920).

5621258649600 is an abundant number, since it is smaller than the sum of its proper divisors (18157419462240).

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

5621258649600 is an frugal number, since it uses more digits than its factorization.

5621258649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5621258649600 in words is "five trillion, six hundred twenty-one billion, two hundred fifty-eight million, six hundred forty-nine thousand, six hundred".