55099801600 has 360 divisors, whose sum is σ = 148977917928. Its totient is φ = 20132659200.

The previous prime is 55099801513. The next prime is 55099801607. The reversal of 55099801600 is 610899055.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28590751744 + 26509049856 = 169088^2 + 162816^2 .

It is not an unprimeable number, because it can be changed into a prime (55099801607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285491104 + ... + 285491296.

Almost surely, 2^55099801600 is an apocalyptic number.

55099801600 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 55099801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74488958964).

55099801600 is an abundant number, since it is smaller than the sum of its proper divisors (93878116328).

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

55099801600 is a wasteful number, since it uses less digits than its factorization.

55099801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 55099801600 in words is "fifty-five billion, ninety-nine million, eight hundred one thousand, six hundred".