5454118800 has 600 divisors, whose sum is σ = 22035714624. Its totient is φ = 1281899520.

The previous prime is 5454118799. The next prime is 5454118801. The reversal of 5454118800 is 88114545.

It is an interprime number because it is at equal distance from previous prime (5454118799) and next prime (5454118801).

It is a tau number, because it is divible by the number of its divisors (600).

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 (5454118801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9687319 + ... + 9687881.

Almost surely, 2^5454118800 is an apocalyptic number.

5454118800 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 5454118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017857312).

5454118800 is an abundant number, since it is smaller than the sum of its proper divisors (16581595824).

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

5454118800 is a wasteful number, since it uses less digits than its factorization.

5454118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5454118800 is about 73852.0060661862. The cubic root of 5454118800 is about 1760.2520730553.

The spelling of 5454118800 in words is "five billion, four hundred fifty-four million, one hundred eighteen thousand, eight hundred".