5653955462400 has 648 divisors, whose sum is σ = 23493561524160. Its totient is φ = 1270423388160.

The previous prime is 5653955462321. The next prime is 5653955462413. The reversal of 5653955462400 is 42645593565.

5653955462400 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 9 + 5 + 5 + 4 + 624 + 0 + 0 = 666.

It is a super-3 number, since 3×5653955462400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23669964 + ... + 23907636.

Almost surely, 2^{5653955462400} is an apocalyptic number.

5653955462400 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 5653955462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746780762080).

5653955462400 is an abundant number, since it is smaller than the sum of its proper divisors (17839606061760).

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

5653955462400 is a wasteful number, since it uses less digits than its factorization.

5653955462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237771 (or 237749 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 5653955462400 in words is "five trillion, six hundred fifty-three billion, nine hundred fifty-five million, four hundred sixty-two thousand, four hundred".