55348567189920 has 2016 divisors, whose sum is σ = 219389057580672. Its totient is φ = 13159777923072.

The previous prime is 55348567189891. The next prime is 55348567189921. The reversal of 55348567189920 is 2998176584355.

55348567189920 is a `hidden beast` number, since 5 + 5 + 3 + 48 + 567 + 18 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55348567189921) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 64886948214 + ... + 64886949066.

It is an arithmetic number, because the mean of its divisors is an integer number (108823937292).

It is a 1-persistent number, because it is pandigital, but 2⋅55348567189920 = 110697134379840 is not.

Almost surely, 2^{55348567189920} 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 55348567189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109694528790336).

55348567189920 is an abundant number, since it is smaller than the sum of its proper divisors (164040490390752).

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

55348567189920 is a wasteful number, since it uses less digits than its factorization.

55348567189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 55348567189920 in words is "fifty-five trillion, three hundred forty-eight billion, five hundred sixty-seven million, one hundred eighty-nine thousand, nine hundred twenty".