5179536000 has 192 divisors, whose sum is σ = 18601525800. Its totient is φ = 1381171200.

The previous prime is 5179535989. The next prime is 5179536007. The reversal of 5179536000 is 6359715.

It is a happy number.

5179536000 is a `hidden beast` number, since 51 + 79 + 536 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2836201536 + 2343334464 = 53256^2 + 48408^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (5179536007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126016 + ... + 161984.

Almost surely, 2^5179536000 is an apocalyptic number.

5179536000 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 5179536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300762900).

5179536000 is an abundant number, since it is smaller than the sum of its proper divisors (13421989800).

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

5179536000 is a wasteful number, since it uses less digits than its factorization.

5179536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36004 (or 35979 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5179536000 is about 71968.9933235140. The cubic root of 5179536000 is about 1730.2025668559.

The spelling of 5179536000 in words is "five billion, one hundred seventy-nine million, five hundred thirty-six thousand".