55593600 has 96 divisors (see below), whose sum is σ = 183143040. Its totient is φ = 14822400.

The previous prime is 55593589. The next prime is 55593611. The reversal of 55593600 is 639555.

It is an interprime number because it is at equal distance from previous prime (55593589) and next prime (55593611).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6705 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (1907740).

Almost surely, 2^55593600 is an apocalyptic number.

55593600 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 55593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91571520).

55593600 is an abundant number, since it is smaller than the sum of its proper divisors (127549440).

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

55593600 is a wasteful number, since it uses less digits than its factorization.

55593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 55593600 is about 7456.1115871478. Note that the first 3 decimals coincide. The cubic root of 55593600 is about 381.6584943448.

The spelling of 55593600 in words is "fifty-five million, five hundred ninety-three thousand, six hundred".