55110007221984 has 768 divisors, whose sum is σ = 192260544537600. Its totient is φ = 15136898457600.

The previous prime is 55110007221977. The next prime is 55110007221989. The reversal of 55110007221984 is 48912270001155.

55110007221984 is a `hidden beast` number, since 551 + 1 + 0 + 0 + 0 + 7 + 2 + 2 + 1 + 98 + 4 = 666.

It is a super-2 number, since 2×55110007221984² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55110007221989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4665194062 + ... + 4665205874.

It is an arithmetic number, because the mean of its divisors is an integer number (250339250700).

Almost surely, 2^{55110007221984} is an apocalyptic number.

55110007221984 is a gapful number since it is divisible by the number (54) 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 55110007221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96130272268800).

55110007221984 is an abundant number, since it is smaller than the sum of its proper divisors (137150537315616).

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

55110007221984 is a wasteful number, since it uses less digits than its factorization.

55110007221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 55110007221984 in words is "fifty-five trillion, one hundred ten billion, seven million, two hundred twenty-one thousand, nine hundred eighty-four".