5133706905600 has 2880 divisors, whose sum is σ = 23892340792320. Its totient is φ = 1060621516800.

The previous prime is 5133706905599. The next prime is 5133706905631. The reversal of 5133706905600 is 65096073315.

5133706905600 is a `hidden beast` number, since 5 + 1 + 3 + 37 + 0 + 6 + 9 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5133706905600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23021107089 + ... + 23021107311.

It is an arithmetic number, because the mean of its divisors is an integer number (8295951664).

Almost surely, 2^{5133706905600} is an apocalyptic number.

5133706905600 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 5133706905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946170396160).

5133706905600 is an abundant number, since it is smaller than the sum of its proper divisors (18758633886720).

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

5133706905600 is a wasteful number, since it uses less digits than its factorization.

5133706905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

It can be divided in two parts, 5133706 and 905600, that added together give a palindrome (6039306).

The spelling of 5133706905600 in words is "five trillion, one hundred thirty-three billion, seven hundred six million, nine hundred five thousand, six hundred".