5361120928800 has 1728 divisors, whose sum is σ = 25075545062400. Its totient is φ = 1094562201600.

The previous prime is 5361120928781. The next prime is 5361120928901. The reversal of 5361120928800 is 88290211635.

5361120928800 is a `hidden beast` number, since 5 + 3 + 611 + 2 + 0 + 9 + 28 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5361120928800² (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 287 ways as a sum of consecutive naturals, for example, 426528916 + ... + 426541484.

It is an arithmetic number, because the mean of its divisors is an integer number (14511310800).

Almost surely, 2^{5361120928800} is an apocalyptic number.

5361120928800 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 5361120928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12537772531200).

5361120928800 is an abundant number, since it is smaller than the sum of its proper divisors (19714424133600).

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

5361120928800 is a wasteful number, since it uses less digits than its factorization.

5361120928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656 (or 12630 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5361120928800 in words is "five trillion, three hundred sixty-one billion, one hundred twenty million, nine hundred twenty-eight thousand, eight hundred".