5451161403200 has 168 divisors, whose sum is σ = 13537016925912. Its totient is φ = 2160361799680.

The previous prime is 5451161403197. The next prime is 5451161403203. The reversal of 5451161403200 is 23041611545.

It is an interprime number because it is at equal distance from previous prime (5451161403197) and next prime (5451161403203).

It can be written as a sum of positive squares in 12 ways, for example, as 4810687715584 + 640473687616 = 2193328^2 + 800296^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451161403203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794974172 + ... + 794981028.

Almost surely, 2^{5451161403200} is an apocalyptic number.

5451161403200 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 5451161403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768508462956).

5451161403200 is an abundant number, since it is smaller than the sum of its proper divisors (8085855522712).

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

5451161403200 is a wasteful number, since it uses less digits than its factorization.

5451161403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11389 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 5451161403200 in words is "five trillion, four hundred fifty-one billion, one hundred sixty-one million, four hundred three thousand, two hundred".