5179174608400 has 135 divisors (see below), whose sum is σ = 13475284832469. Its totient is φ = 1912092149760.

The previous prime is 5179174608389. The next prime is 5179174608463. The reversal of 5179174608400 is 48064719715.

It is a happy number.

The square root of 5179174608400 is 2275780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3167588371984 + 2011586236416 = 1779772^2 + 1418304^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 591698424 + ... + 591707176.

Almost surely, 2^{5179174608400} is an apocalyptic number.

5179174608400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5179174608400 is the 2275780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5179174608400

5179174608400 is an abundant number, since it is smaller than the sum of its proper divisors (8296110224069).

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

5179174608400 is an frugal number, since it uses more digits than its factorization.

5179174608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17550 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 5179174608400 in words is "five trillion, one hundred seventy-nine billion, one hundred seventy-four million, six hundred eight thousand, four hundred".