55294800 has 240 divisors, whose sum is σ = 199272960. Its totient is φ = 12992000.

The previous prime is 55294777. The next prime is 55294819. The reversal of 55294800 is 849255.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 778765 + ... + 778835.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^55294800 is an apocalyptic number.

55294800 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 55294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

55294800 is an abundant number, since it is smaller than the sum of its proper divisors (143978160).

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

55294800 is a wasteful number, since it uses less digits than its factorization.

55294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 55294800 is about 7436.0473371274. The cubic root of 55294800 is about 380.9734965478.

The spelling of 55294800 in words is "fifty-five million, two hundred ninety-four thousand, eight hundred".