55199793600 has 1008 divisors, whose sum is σ = 237514485600. Its totient is φ = 12432752640.

The previous prime is 55199793533. The next prime is 55199793601. The reversal of 55199793600 is 639799155.

55199793600 is a `hidden beast` number, since 5 + 519 + 97 + 9 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55199793601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188395054 + ... + 188395346.

It is an arithmetic number, because the mean of its divisors is an integer number (235629450).

Almost surely, 2^55199793600 is an apocalyptic number.

55199793600 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 55199793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118757242800).

55199793600 is an abundant number, since it is smaller than the sum of its proper divisors (182314692000).

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

55199793600 is a wasteful number, since it uses less digits than its factorization.

55199793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 55199793600 in words is "fifty-five billion, one hundred ninety-nine million, seven hundred ninety-three thousand, six hundred".