55547267641800 has 768 divisors, whose sum is σ = 200670013440000. Its totient is φ = 12569344128000.

The previous prime is 55547267641763. The next prime is 55547267641847. The reversal of 55547267641800 is 814676274555.

It is a super-2 number, since 2×55547267641800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2570312995 + ... + 2570334605.

It is an arithmetic number, because the mean of its divisors is an integer number (261289080000).

Almost surely, 2^{55547267641800} is an apocalyptic number.

55547267641800 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 55547267641800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100335006720000).

55547267641800 is an abundant number, since it is smaller than the sum of its proper divisors (145122745798200).

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

55547267641800 is a wasteful number, since it uses less digits than its factorization.

55547267641800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21962 (or 21953 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 55547267641800 in words is "fifty-five trillion, five hundred forty-seven billion, two hundred sixty-seven million, six hundred forty-one thousand, eight hundred".