5456765952 has 264 divisors, whose sum is σ = 18099737760. Its totient is φ = 1565982720.

The previous prime is 5456765869. The next prime is 5456765959. The reversal of 5456765952 is 2595676545.

5456765952 is a `hidden beast` number, since 5 + 45 + 6 + 7 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5456765959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924728 + ... + 1927560.

Almost surely, 2^5456765952 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 5456765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049868880).

5456765952 is an abundant number, since it is smaller than the sum of its proper divisors (12642971808).

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

5456765952 is a wasteful number, since it uses less digits than its factorization.

5456765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2868 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The square root of 5456765952 is about 73869.9258968086. The cubic root of 5456765952 is about 1760.5368059527.

The spelling of 5456765952 in words is "five billion, four hundred fifty-six million, seven hundred sixty-five thousand, nine hundred fifty-two".