5480172900 has 216 divisors, whose sum is σ = 17590243944. Its totient is φ = 1426636800.

The previous prime is 5480172899. The next prime is 5480172923. The reversal of 5480172900 is 92710845.

5480172900 is a `hidden beast` number, since 5 + 480 + 172 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 323784036 + 5156388864 = 17994^2 + 71808^2 .

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 71 ways as a sum of consecutive naturals, for example, 9497412 + ... + 9497988.

Almost surely, 2^5480172900 is an apocalyptic number.

5480172900 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 5480172900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795121972).

5480172900 is an abundant number, since it is smaller than the sum of its proper divisors (12110071044).

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

5480172900 is a wasteful number, since it uses less digits than its factorization.

5480172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5480172900 is about 74028.1899008749. The cubic root of 5480172900 is about 1763.0505055665.

The spelling of 5480172900 in words is "five billion, four hundred eighty million, one hundred seventy-two thousand, nine hundred".