55585420800 has 480 divisors, whose sum is σ = 226011700992. Its totient is φ = 11727175680.

The previous prime is 55585420771. The next prime is 55585420837. The reversal of 55585420800 is 802458555.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×55585420800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3486447 + ... + 3502353.

Almost surely, 2^55585420800 is an apocalyptic number.

55585420800 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 55585420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113005850496).

55585420800 is an abundant number, since it is smaller than the sum of its proper divisors (170426280192).

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

55585420800 is a wasteful number, since it uses less digits than its factorization.

55585420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 42.

The spelling of 55585420800 in words is "fifty-five billion, five hundred eighty-five million, four hundred twenty thousand, eight hundred".