55369267200 has 1080 divisors, whose sum is σ = 224875450800. Its totient is φ = 13456834560.

The previous prime is 55369267199. The next prime is 55369267237. The reversal of 55369267200 is 276296355.

55369267200 is a `hidden beast` number, since 5 + 5 + 369 + 267 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 89 ways as a sum of consecutive naturals, for example, 700876761 + ... + 700876839.

It is an arithmetic number, because the mean of its divisors is an integer number (208218010).

Almost surely, 2^55369267200 is an apocalyptic number.

55369267200 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 55369267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112437725400).

55369267200 is an abundant number, since it is smaller than the sum of its proper divisors (169506183600).

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

55369267200 is a wasteful number, since it uses less digits than its factorization.

55369267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55369267200 in words is "fifty-five billion, three hundred sixty-nine million, two hundred sixty-seven thousand, two hundred".