5410163404800 has 3120 divisors, whose sum is σ = 25696447679232. Its totient is φ = 1092472012800.

The previous prime is 5410163404787. The next prime is 5410163404817. The reversal of 5410163404800 is 84043610145.

5410163404800 is a `hidden beast` number, since 5 + 4 + 10 + 1 + 634 + 0 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27462758302 + ... + 27462758498.

Almost surely, 2^{5410163404800} is an apocalyptic number.

5410163404800 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 5410163404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848223839616).

5410163404800 is an abundant number, since it is smaller than the sum of its proper divisors (20286284274432).

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

5410163404800 is a wasteful number, since it uses less digits than its factorization.

5410163404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5410163404800 in words is "five trillion, four hundred ten billion, one hundred sixty-three million, four hundred four thousand, eight hundred".