55506010055952 has 160 divisors (see below), whose sum is σ = 152661429043200. Its totient is φ = 17317829928960.

The previous prime is 55506010055939. The next prime is 55506010056017. The reversal of 55506010055952 is 25955001060555.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342711663 + ... + 342873585.

It is an arithmetic number, because the mean of its divisors is an integer number (954133931520).

Almost surely, 2^{55506010055952} 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 55506010055952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76330714521600).

55506010055952 is an abundant number, since it is smaller than the sum of its proper divisors (97155418987248).

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

55506010055952 is a wasteful number, since it uses less digits than its factorization.

55506010055952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164261 (or 164255 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 48.

The spelling of 55506010055952 in words is "fifty-five trillion, five hundred six billion, ten million, fifty-five thousand, nine hundred fifty-two".