55120068864 has 576 divisors, whose sum is σ = 207683481600. Its totient is φ = 14038106112.

The previous prime is 55120068803. The next prime is 55120068869. The reversal of 55120068864 is 46886002155.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (55120068869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15626269 + ... + 15629795.

It is an arithmetic number, because the mean of its divisors is an integer number (360561600).

Almost surely, 2^55120068864 is an apocalyptic number.

55120068864 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 55120068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103841740800).

55120068864 is an abundant number, since it is smaller than the sum of its proper divisors (152563412736).

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

55120068864 is a wasteful number, since it uses less digits than its factorization.

55120068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 55120068864 in words is "fifty-five billion, one hundred twenty million, sixty-eight thousand, eight hundred sixty-four".