55128600 has 240 divisors, whose sum is σ = 198502920. Its totient is φ = 14169600.

The previous prime is 55128583. The next prime is 55128607. The reversal of 55128600 is 682155.

55128600 is a `hidden beast` number, since 5 + 51 + 2 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55128607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 664159 + ... + 664241.

Almost surely, 2^55128600 is an apocalyptic number.

55128600 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 55128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99251460).

55128600 is an abundant number, since it is smaller than the sum of its proper divisors (143374320).

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

55128600 is a wasteful number, since it uses less digits than its factorization.

55128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55128600 is about 7424.8636351114. The cubic root of 55128600 is about 380.5914151735.

The spelling of 55128600 in words is "fifty-five million, one hundred twenty-eight thousand, six hundred".