5481777600 has 672 divisors, whose sum is σ = 22117751040. Its totient is φ = 1312174080.

The previous prime is 5481777599. The next prime is 5481777629. The reversal of 5481777600 is 67771845.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24148687 + ... + 24148913.

It is an arithmetic number, because the mean of its divisors is an integer number (32913320).

Almost surely, 2^5481777600 is an apocalyptic number.

5481777600 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 5481777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058875520).

5481777600 is an abundant number, since it is smaller than the sum of its proper divisors (16635973440).

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

5481777600 is a wasteful number, since it uses less digits than its factorization.

5481777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 5481777600 is about 74039.0275462880. The cubic root of 5481777600 is about 1763.2225738022. Note that the first 3 decimals are identical.

The spelling of 5481777600 in words is "five billion, four hundred eighty-one million, seven hundred seventy-seven thousand, six hundred".