55787443200 has 528 divisors, whose sum is σ = 209743152960. Its totient is φ = 14522941440.

The previous prime is 55787443169. The next prime is 55787443249. The reversal of 55787443200 is 234478755.

55787443200 is a `hidden beast` number, since 5 + 578 + 7 + 44 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×55787443200² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 29720662 + ... + 29722538.

It is an arithmetic number, because the mean of its divisors is an integer number (397240820).

Almost surely, 2^55787443200 is an apocalyptic number.

55787443200 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 55787443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104871576480).

55787443200 is an abundant number, since it is smaller than the sum of its proper divisors (153955709760).

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

55787443200 is a wasteful number, since it uses less digits than its factorization.

55787443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 55787443200 in words is "fifty-five billion, seven hundred eighty-seven million, four hundred forty-three thousand, two hundred".