5336601429600 has 576 divisors, whose sum is σ = 22065687705600. Its totient is φ = 1219366932480.

The previous prime is 5336601429563. The next prime is 5336601429623. The reversal of 5336601429600 is 69241066335.

5336601429600 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 6 + 0 + 14 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673894441 + ... + 673902359.

It is an arithmetic number, because the mean of its divisors is an integer number (38308485600).

Almost surely, 2^{5336601429600} is an apocalyptic number.

5336601429600 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 5336601429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032843852800).

5336601429600 is an abundant number, since it is smaller than the sum of its proper divisors (16729086276000).

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

5336601429600 is a wasteful number, since it uses less digits than its factorization.

5336601429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12393 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 5336601429600 in words is "five trillion, three hundred thirty-six billion, six hundred one million, four hundred twenty-nine thousand, six hundred".