5685367430400 has 864 divisors, whose sum is σ = 22070380738560. Its totient is φ = 1261664501760.

The previous prime is 5685367430339. The next prime is 5685367430441. The reversal of 5685367430400 is 40347635865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3078162277 + ... + 3078164123.

Almost surely, 2^{5685367430400} is an apocalyptic number.

5685367430400 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 5685367430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11035190369280).

5685367430400 is an abundant number, since it is smaller than the sum of its proper divisors (16385013308160).

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

5685367430400 is a wasteful number, since it uses less digits than its factorization.

5685367430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 5685367430400 in words is "five trillion, six hundred eighty-five billion, three hundred sixty-seven million, four hundred thirty thousand, four hundred".