5171359334400 has 1350 divisors, whose sum is σ = 22292500049358. Its totient is φ = 1181653401600.

The previous prime is 5171359334363. The next prime is 5171359334417. The reversal of 5171359334400 is 44339531715.

5171359334400 is a `hidden beast` number, since 5 + 1 + 7 + 13 + 593 + 3 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 5171294306304 = 8064^2 + 2274048^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a super-2 number, since 2×5171359334400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1625700810 + ... + 1625703990.

Almost surely, 2^{5171359334400} is an apocalyptic number.

5171359334400 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 5171359334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146250024679).

5171359334400 is an abundant number, since it is smaller than the sum of its proper divisors (17121140714958).

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

5171359334400 is an equidigital number, since it uses as much as digits as its factorization.

5171359334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5171359334400 in words is "five trillion, one hundred seventy-one billion, three hundred fifty-nine million, three hundred thirty-four thousand, four hundred".