5361733166400 has 1008 divisors, whose sum is σ = 21758237050368. Its totient is φ = 1242667008000.

The previous prime is 5361733166359. The next prime is 5361733166407. The reversal of 5361733166400 is 46613371635.

5361733166400 is a `hidden beast` number, since 53 + 6 + 1 + 7 + 33 + 166 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5361733166407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214705915 + ... + 214730885.

Almost surely, 2^{5361733166400} is an apocalyptic number.

5361733166400 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 5361733166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879118525184).

5361733166400 is an abundant number, since it is smaller than the sum of its proper divisors (16396503883968).

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

5361733166400 is a wasteful number, since it uses less digits than its factorization.

5361733166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25080 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 5361733166400 in words is "five trillion, three hundred sixty-one billion, seven hundred thirty-three million, one hundred sixty-six thousand, four hundred".