55598355600 has 240 divisors, whose sum is σ = 180317119680. Its totient is φ = 14642585600.

The previous prime is 55598355563. The next prime is 55598355629. The reversal of 55598355600 is 655389555.

55598355600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73059220 + ... + 73059980.

It is an arithmetic number, because the mean of its divisors is an integer number (751321332).

Almost surely, 2^55598355600 is an apocalyptic number.

55598355600 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 55598355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90158559840).

55598355600 is an abundant number, since it is smaller than the sum of its proper divisors (124718764080).

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

55598355600 is a wasteful number, since it uses less digits than its factorization.

55598355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 55598355600 in words is "fifty-five billion, five hundred ninety-eight million, three hundred fifty-five thousand, six hundred".