55541427200 has 264 divisors, whose sum is σ = 159954283104. Its totient is φ = 18726912000.

The previous prime is 55541427199. The next prime is 55541427223. The reversal of 55541427200 is 272414555.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 10928660 + ... + 10933740.

It is an arithmetic number, because the mean of its divisors is an integer number (605887436).

Almost surely, 2^55541427200 is an apocalyptic number.

55541427200 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 55541427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79977141552).

55541427200 is an abundant number, since it is smaller than the sum of its proper divisors (104412855904).

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

55541427200 is a wasteful number, since it uses less digits than its factorization.

55541427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 55541427200 in words is "fifty-five billion, five hundred forty-one million, four hundred twenty-seven thousand, two hundred".