5131479600 has 720 divisors, whose sum is σ = 20686009344. Its totient is φ = 1213056000.

The previous prime is 5131479503. The next prime is 5131479611. The reversal of 5131479600 is 69741315.

5131479600 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 47 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39171535 + ... + 39171665.

Almost surely, 2^5131479600 is an apocalyptic number.

5131479600 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 5131479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343004672).

5131479600 is an abundant number, since it is smaller than the sum of its proper divisors (15554529744).

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

5131479600 is a wasteful number, since it uses less digits than its factorization.

5131479600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5131479600 is about 71634.3465105950. The cubic root of 5131479600 is about 1724.8349180396.

The spelling of 5131479600 in words is "five billion, one hundred thirty-one million, four hundred seventy-nine thousand, six hundred".