55007582020352 has 432 divisors, whose sum is σ = 126393367766400. Its totient is φ = 23814974177280.

The previous prime is 55007582020351. The next prime is 55007582020379. The reversal of 55007582020352 is 25302028570055.

It is not an unprimeable number, because it can be changed into a prime (55007582020351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41640863852 + ... + 41640865172.

It is an arithmetic number, because the mean of its divisors is an integer number (292577240200).

Almost surely, 2^{55007582020352} is an apocalyptic number.

55007582020352 is a gapful number since it is divisible by the number (52) 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 55007582020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63196683883200).

55007582020352 is an abundant number, since it is smaller than the sum of its proper divisors (71385785746048).

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

55007582020352 is a wasteful number, since it uses less digits than its factorization.

55007582020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 44.

The spelling of 55007582020352 in words is "fifty-five trillion, seven billion, five hundred eighty-two million, twenty thousand, three hundred fifty-two".