55106009952 has 144 divisors (see below), whose sum is σ = 168371647920. Its totient is φ = 15735078912.

The previous prime is 55106009927. The next prime is 55106010013. The reversal of 55106009952 is 25990060155.

55106009952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12496324 + ... + 12500732.

It is an arithmetic number, because the mean of its divisors is an integer number (1169247555).

Almost surely, 2^55106009952 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 55106009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185823960).

55106009952 is an abundant number, since it is smaller than the sum of its proper divisors (113265637968).

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

55106009952 is a wasteful number, since it uses less digits than its factorization.

55106009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 42.

The spelling of 55106009952 in words is "fifty-five billion, one hundred six million, nine thousand, nine hundred fifty-two".