55078400 has 120 divisors (see below), whose sum is σ = 147402024. Its totient is φ = 20275200.

The previous prime is 55078391. The next prime is 55078417. The reversal of 55078400 is 487055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166235 + ... + 166565.

Almost surely, 2^55078400 is an apocalyptic number.

55078400 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 55078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73701012).

55078400 is an abundant number, since it is smaller than the sum of its proper divisors (92323624).

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

55078400 is a wasteful number, since it uses less digits than its factorization.

55078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 55078400 is about 7421.4823317178. The cubic root of 55078400 is about 380.4758581476.

The spelling of 55078400 in words is "fifty-five million, seventy-eight thousand, four hundred".