5160380400 has 600 divisors, whose sum is σ = 21570590624. Its totient is φ = 1157068800.

The previous prime is 5160380389. The next prime is 5160380419. The reversal of 5160380400 is 40830615.

5160380400 is a `hidden beast` number, since 51 + 603 + 8 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13834614 + ... + 13834986.

Almost surely, 2^5160380400 is an apocalyptic number.

5160380400 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 5160380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785295312).

5160380400 is an abundant number, since it is smaller than the sum of its proper divisors (16410210224).

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

5160380400 is a wasteful number, since it uses less digits than its factorization.

5160380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5160380400 is about 71835.7877384246. The cubic root of 5160380400 is about 1728.0669823572.

The spelling of 5160380400 in words is "five billion, one hundred sixty million, three hundred eighty thousand, four hundred".