5602594320400 has 1215 divisors, whose sum is σ = 18167258147493. Its totient is φ = 1654234982400.

The previous prime is 5602594320397. The next prime is 5602594320409. The reversal of 5602594320400 is 40234952065.

The square root of 5602594320400 is 2366980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2182935330576 + 3419658989824 = 1477476^2 + 1849232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5602594320409) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 105709326774 + ... + 105709326826.

Almost surely, 2^{5602594320400} is an apocalyptic number.

5602594320400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5602594320400 is the 2366980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5602594320400

5602594320400 is an abundant number, since it is smaller than the sum of its proper divisors (12564663827093).

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

5602594320400 is a wasteful number, since it uses less digits than its factorization.

5602594320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 5602594320400 in words is "five trillion, six hundred two billion, five hundred ninety-four million, three hundred twenty thousand, four hundred".