5036760405600 has 576 divisors, whose sum is σ = 20825792064000. Its totient is φ = 1026850406400.

The previous prime is 5036760405571. The next prime is 5036760405659. The reversal of 5036760405600 is 65040676305.

It is a super-3 number, since 3×5036760405600³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9537276 + ... + 10051524.

It is an arithmetic number, because the mean of its divisors is an integer number (36155889000).

Almost surely, 2^{5036760405600} is an apocalyptic number.

5036760405600 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 5036760405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412896032000).

5036760405600 is an abundant number, since it is smaller than the sum of its proper divisors (15789031658400).

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

5036760405600 is a wasteful number, since it uses less digits than its factorization.

5036760405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514343 (or 514330 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 5036760405600 in words is "five trillion, thirty-six billion, seven hundred sixty million, four hundred five thousand, six hundred".