55354800 has 120 divisors (see below), whose sum is σ = 179038144. Its totient is φ = 14618880.

The previous prime is 55354799. The next prime is 55354801. The reversal of 55354800 is 845355.

It is an interprime number because it is at equal distance from previous prime (55354799) and next prime (55354801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55354801) 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, 195459 + ... + 195741.

Almost surely, 2^55354800 is an apocalyptic number.

55354800 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 55354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89519072).

55354800 is an abundant number, since it is smaller than the sum of its proper divisors (123683344).

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

55354800 is a wasteful number, since it uses less digits than its factorization.

55354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 55354800 is about 7440.0806447242. The cubic root of 55354800 is about 381.1112439607. Note that the first 3 decimals are identical.

The spelling of 55354800 in words is "fifty-five million, three hundred fifty-four thousand, eight hundred".