55778348313060 has 288 divisors, whose sum is σ = 166268772109440. Its totient is φ = 13960851480576.

The previous prime is 55778348313059. The next prime is 55778348313133. The reversal of 55778348313060 is 6031384387755.

It is a happy number.

55778348313060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55778348313060² (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 a junction number, because it is equal to n+sod(n) for n = 55778348312985 and 55778348313003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2216140156 + ... + 2216165324.

It is an arithmetic number, because the mean of its divisors is an integer number (577322125380).

Almost surely, 2^{55778348313060} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55778348313060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83134386054720).

55778348313060 is an abundant number, since it is smaller than the sum of its proper divisors (110490423796380).

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

55778348313060 is a wasteful number, since it uses less digits than its factorization.

55778348313060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26463 (or 26432 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 55778348313060 in words is "fifty-five trillion, seven hundred seventy-eight billion, three hundred forty-eight million, three hundred thirteen thousand, sixty".