52205051664 has 160 divisors (see below), whose sum is σ = 158865546240. Its totient is φ = 16357091328.

The previous prime is 52205051651. The next prime is 52205051683. The reversal of 52205051664 is 46615050225.

52205051664 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 (36).

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, 6333754 + ... + 6341990.

It is an arithmetic number, because the mean of its divisors is an integer number (992909664).

Almost surely, 2^52205051664 is an apocalyptic number.

52205051664 is a gapful number since it is divisible by the number (54) 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 52205051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432773120).

52205051664 is an abundant number, since it is smaller than the sum of its proper divisors (106660494576).

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

52205051664 is a wasteful number, since it uses less digits than its factorization.

52205051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 52205051664 in words is "fifty-two billion, two hundred five million, fifty-one thousand, six hundred sixty-four".