55678400 has 168 divisors, whose sum is σ = 153070560. Its totient is φ = 19824640.

The previous prime is 55678393. The next prime is 55678411. The reversal of 55678400 is 487655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625556 + ... + 625644.

Almost surely, 2^55678400 is an apocalyptic number.

55678400 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 55678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

55678400 is an abundant number, since it is smaller than the sum of its proper divisors (97392160).

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

55678400 is a wasteful number, since it uses less digits than its factorization.

55678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 55678400 is about 7461.7960304474. The cubic root of 55678400 is about 381.8524507138.

The spelling of 55678400 in words is "fifty-five million, six hundred seventy-eight thousand, four hundred".