55506165000 has 640 divisors, whose sum is σ = 206416425600. Its totient is φ = 12257280000.

The previous prime is 55506164927. The next prime is 55506165017. The reversal of 55506165000 is 56160555.

55506165000 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 242384886 + ... + 242385114.

It is an arithmetic number, because the mean of its divisors is an integer number (322525665).

Almost surely, 2^55506165000 is an apocalyptic number.

55506165000 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 55506165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103208212800).

55506165000 is an abundant number, since it is smaller than the sum of its proper divisors (150910260600).

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

55506165000 is a wasteful number, since it uses less digits than its factorization.

55506165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

It can be divided in two parts, 55506 and 165000, that multiplied together give a square (9158490000 = 95700²).

The spelling of 55506165000 in words is "fifty-five billion, five hundred six million, one hundred sixty-five thousand".