5479113600 has 864 divisors, whose sum is σ = 22552395840. Its totient is φ = 1260748800.

The previous prime is 5479113571. The next prime is 5479113643. The reversal of 5479113600 is 63119745.

5479113600 is a `hidden beast` number, since 5 + 47 + 9 + 1 + 1 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 176745585 + ... + 176745615.

It is an arithmetic number, because the mean of its divisors is an integer number (26102310).

Almost surely, 2^5479113600 is an apocalyptic number.

5479113600 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 5479113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276197920).

5479113600 is an abundant number, since it is smaller than the sum of its proper divisors (17073282240).

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

5479113600 is a wasteful number, since it uses less digits than its factorization.

5479113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

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

The square root of 5479113600 is about 74021.0348482105. The cubic root of 5479113600 is about 1762.9369008938.

The spelling of 5479113600 in words is "five billion, four hundred seventy-nine million, one hundred thirteen thousand, six hundred".