5455820800 has 288 divisors, whose sum is σ = 14587503840. Its totient is φ = 2018508800.

The previous prime is 5455820743. The next prime is 5455820809. The reversal of 5455820800 is 80285545.

It is a self number, because there is not a number n which added to its sum of digits gives 5455820800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5455820809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48281544 + ... + 48281656.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 2^5455820800 is an apocalyptic number.

5455820800 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 5455820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

5455820800 is an abundant number, since it is smaller than the sum of its proper divisors (9131683040).

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

5455820800 is a wasteful number, since it uses less digits than its factorization.

5455820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The square root of 5455820800 is about 73863.5282125082. The cubic root of 5455820800 is about 1760.4351541087.

It can be divided in two parts, 5455 and 820800, that added together give a triangular number (826255 = T₁₂₈₅).

The spelling of 5455820800 in words is "five billion, four hundred fifty-five million, eight hundred twenty thousand, eight hundred".