55056006642 has 128 divisors (see below), whose sum is σ = 144115905024. Its totient is φ = 13606944768.

The previous prime is 55056006631. The next prime is 55056006661. The reversal of 55056006642 is 24660065055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 55056006642.

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 63 ways as a sum of consecutive naturals, for example, 2149978 + ... + 2175434.

It is an arithmetic number, because the mean of its divisors is an integer number (1125905508).

Almost surely, 2^55056006642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55056006642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72057952512).

55056006642 is an abundant number, since it is smaller than the sum of its proper divisors (89059898382).

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

55056006642 is a wasteful number, since it uses less digits than its factorization.

55056006642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 55056006642 in words is "fifty-five billion, fifty-six million, six thousand, six hundred forty-two".