55989600 has 144 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 14540800.

The previous prime is 55989587. The next prime is 55989611. The reversal of 55989600 is 698955.

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, 98116 + ... + 98684.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^55989600 is an apocalyptic number.

55989600 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 55989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

55989600 is an abundant number, since it is smaller than the sum of its proper divisors (131029680).

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

55989600 is a wasteful number, since it uses less digits than its factorization.

55989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 55989600 is about 7482.6198620537. The cubic root of 55989600 is about 382.5625511783.

The spelling of 55989600 in words is "fifty-five million, nine hundred eighty-nine thousand, six hundred".