55442334000 has 320 divisors, whose sum is σ = 181839790080. Its totient is φ = 14531200000.

The previous prime is 55442333993. The next prime is 55442334007. The reversal of 55442334000 is 43324455.

It is an interprime number because it is at equal distance from previous prime (55442333993) and next prime (55442334007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55442334007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115745761 + ... + 115746239.

It is an arithmetic number, because the mean of its divisors is an integer number (568249344).

Almost surely, 2^55442334000 is an apocalyptic number.

55442334000 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 55442334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90919895040).

55442334000 is an abundant number, since it is smaller than the sum of its proper divisors (126397456080).

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

55442334000 is a wasteful number, since it uses less digits than its factorization.

55442334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 55442334000 its reverse (43324455), we get a palindrome (55485658455).

The spelling of 55442334000 in words is "fifty-five billion, four hundred forty-two million, three hundred thirty-four thousand".