5380171776 has 576 divisors, whose sum is σ = 19420128000. Its totient is φ = 1430618112.

The previous prime is 5380171763. The next prime is 5380171789. The reversal of 5380171776 is 6771710835.

It is an interprime number because it is at equal distance from previous prime (5380171763) and next prime (5380171789).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 145410030 + ... + 145410066.

It is an arithmetic number, because the mean of its divisors is an integer number (33715500).

Almost surely, 2^5380171776 is an apocalyptic number.

5380171776 is a gapful number since it is divisible by the number (56) 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 5380171776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064000).

5380171776 is an abundant number, since it is smaller than the sum of its proper divisors (14039956224).

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

5380171776 is a wasteful number, since it uses less digits than its factorization.

5380171776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 5380171776 is about 73349.6542323139. The cubic root of 5380171776 is about 1752.2606730419.

The spelling of 5380171776 in words is "five billion, three hundred eighty million, one hundred seventy-one thousand, seven hundred seventy-six".