5465548800 has 432 divisors, whose sum is σ = 20298505500. Its totient is φ = 1403781120.

The previous prime is 5465548799. The next prime is 5465548813. The reversal of 5465548800 is 88455645.

It can be written as a sum of positive squares in 6 ways, for example, as 3351020544 + 2114528256 = 57888^2 + 45984^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13362996 + ... + 13363404.

Almost surely, 2^5465548800 is an apocalyptic number.

5465548800 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 5465548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149252750).

5465548800 is an abundant number, since it is smaller than the sum of its proper divisors (14832956700).

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

5465548800 is a wasteful number, since it uses less digits than its factorization.

5465548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5465548800 is about 73929.3500580115. The cubic root of 5465548800 is about 1761.4808473435.

The spelling of 5465548800 in words is "five billion, four hundred sixty-five million, five hundred forty-eight thousand, eight hundred".