55168819200 has 672 divisors, whose sum is σ = 221351368320. Its totient is φ = 13359513600.

The previous prime is 55168819193. The next prime is 55168819219. The reversal of 55168819200 is 291886155.

It is a happy number.

55168819200 is a `hidden beast` number, since 551 + 6 + 8 + 8 + 1 + 92 + 0 + 0 = 666.

It is a super-2 number, since 2×55168819200² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60825147 + ... + 60826053.

Almost surely, 2^55168819200 is an apocalyptic number.

55168819200 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 55168819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110675684160).

55168819200 is an abundant number, since it is smaller than the sum of its proper divisors (166182549120).

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

55168819200 is a wasteful number, since it uses less digits than its factorization.

55168819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 55168819200 in words is "fifty-five billion, one hundred sixty-eight million, eight hundred nineteen thousand, two hundred".