55340863200 has 576 divisors, whose sum is σ = 229500311040. Its totient is φ = 12607488000.

The previous prime is 55340863199. The next prime is 55340863213. The reversal of 55340863200 is 236804355.

It is a happy number.

55340863200 is a `hidden beast` number, since 55 + 340 + 8 + 63 + 200 = 666.

It is a super-2 number, since 2×55340863200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86334880 + ... + 86335520.

It is an arithmetic number, because the mean of its divisors is an integer number (398438040).

Almost surely, 2^55340863200 is an apocalyptic number.

55340863200 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 55340863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114750155520).

55340863200 is an abundant number, since it is smaller than the sum of its proper divisors (174159447840).

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

55340863200 is a wasteful number, since it uses less digits than its factorization.

55340863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 55340863200 in words is "fifty-five billion, three hundred forty million, eight hundred sixty-three thousand, two hundred".