5380171378400 has 216 divisors, whose sum is σ = 16254169135344. Its totient is φ = 1702735257600.

The previous prime is 5380171378381. The next prime is 5380171378403. The reversal of 5380171378400 is 48731710835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380171378403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1896041 + ... + 3788840.

It is an arithmetic number, because the mean of its divisors is an integer number (75250783034).

Almost surely, 2^{5380171378400} is an apocalyptic number.

5380171378400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5380171378400 is an abundant number, since it is smaller than the sum of its proper divisors (10873997756944).

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

5380171378400 is a wasteful number, since it uses less digits than its factorization.

5380171378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684934 (or 5684908 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 5380171378400 in words is "five trillion, three hundred eighty billion, one hundred seventy-one million, three hundred seventy-eight thousand, four hundred".