55381106496000 has 320 divisors, whose sum is σ = 185063121809280. Its totient is φ = 14693319065600.

The previous prime is 55381106495993. The next prime is 55381106496031. The reversal of 55381106496000 is 69460118355.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×55381106496000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37091911 + ... + 38556089.

It is an arithmetic number, because the mean of its divisors is an integer number (578322255654).

Almost surely, 2^{55381106496000} is an apocalyptic number.

55381106496000 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 55381106496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92531560904640).

55381106496000 is an abundant number, since it is smaller than the sum of its proper divisors (129682015313280).

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

55381106496000 is a wasteful number, since it uses less digits than its factorization.

55381106496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464412 (or 1464386 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 55381106496000 in words is "fifty-five trillion, three hundred eighty-one billion, one hundred six million, four hundred ninety-six thousand".