55891200 has 216 divisors, whose sum is σ = 191612736. Its totient is φ = 14336000.

The previous prime is 55891183. The next prime is 55891229. The reversal of 55891200 is 219855.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787165 + ... + 787235.

It is an arithmetic number, because the mean of its divisors is an integer number (887096).

Almost surely, 2^55891200 is an apocalyptic number.

55891200 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 55891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95806368).

55891200 is an abundant number, since it is smaller than the sum of its proper divisors (135721536).

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

55891200 is a wasteful number, since it uses less digits than its factorization.

55891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 55891200 is about 7476.0417334309. The cubic root of 55891200 is about 382.3383057862.

The spelling of 55891200 in words is "fifty-five million, eight hundred ninety-one thousand, two hundred".