5602063420800 has 5760 divisors, whose sum is σ = 29310374016000. Its totient is φ = 1024789708800.

The previous prime is 5602063420777. The next prime is 5602063420801. The reversal of 5602063420800 is 80243602065.

5602063420800 is a `hidden beast` number, since 5 + 602 + 0 + 6 + 3 + 42 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×5602063420800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5602063420801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 70912195161 + ... + 70912195239.

It is an arithmetic number, because the mean of its divisors is an integer number (5088606600).

Almost surely, 2^{5602063420800} is an apocalyptic number.

5602063420800 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 5602063420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655187008000).

5602063420800 is an abundant number, since it is smaller than the sum of its proper divisors (23708310595200).

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

5602063420800 is a wasteful number, since it uses less digits than its factorization.

5602063420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5602063420800 in words is "five trillion, six hundred two billion, sixty-three million, four hundred twenty thousand, eight hundred".