55280440800 has 648 divisors, whose sum is σ = 213092720568. Its totient is φ = 13478400000.

The previous prime is 55280440793. The next prime is 55280440811. The reversal of 55280440800 is 804408255.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 220240675 + ... + 220240925.

It is an arithmetic number, because the mean of its divisors is an integer number (328846791).

Almost surely, 2^55280440800 is an apocalyptic number.

55280440800 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 55280440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546360284).

55280440800 is an abundant number, since it is smaller than the sum of its proper divisors (157812279768).

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

55280440800 is a wasteful number, since it uses less digits than its factorization.

55280440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 55280440800 in words is "fifty-five billion, two hundred eighty million, four hundred forty thousand, eight hundred".