55850619600 has 180 divisors, whose sum is σ = 193942881132. Its totient is φ = 14883840000.

The previous prime is 55850619581. The next prime is 55850619631. The reversal of 55850619600 is 691605855.

It is a happy number.

55850619600 is a `hidden beast` number, since 5 + 58 + 506 + 1 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10747054224 + 45103565376 = 103668^2 + 212376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6839520 + ... + 6847680.

Almost surely, 2^55850619600 is an apocalyptic number.

55850619600 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 55850619600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96971440566).

55850619600 is an abundant number, since it is smaller than the sum of its proper divisors (138092261532).

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

55850619600 is a wasteful number, since it uses less digits than its factorization.

55850619600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55850619600 in words is "fifty-five billion, eight hundred fifty million, six hundred nineteen thousand, six hundred".