55841868800 has 264 divisors, whose sum is σ = 143728582032. Its totient is φ = 21495808000.

The previous prime is 55841868791. The next prime is 55841868829. The reversal of 55841868800 is 886814855.

It is a super-2 number, since 2×55841868800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87116480 + ... + 87117120.

Almost surely, 2^55841868800 is an apocalyptic number.

55841868800 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 55841868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71864291016).

55841868800 is an abundant number, since it is smaller than the sum of its proper divisors (87886713232).

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

55841868800 is a wasteful number, since it uses less digits than its factorization.

55841868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 53.

The spelling of 55841868800 in words is "fifty-five billion, eight hundred forty-one million, eight hundred sixty-eight thousand, eight hundred".