55729600 has 84 divisors (see below), whose sum is σ = 139621768. Its totient is φ = 21888000.

The previous prime is 55729577. The next prime is 55729601. The reversal of 55729600 is 692755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55729601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97315 + ... + 97885.

Almost surely, 2^55729600 is an apocalyptic number.

55729600 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 55729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69810884).

55729600 is an abundant number, since it is smaller than the sum of its proper divisors (83892168).

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

55729600 is a wasteful number, since it uses less digits than its factorization.

55729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 55729600 is about 7465.2260515004. The cubic root of 55729600 is about 381.9694611150.

The spelling of 55729600 in words is "fifty-five million, seven hundred twenty-nine thousand, six hundred".