5162268672 has 576 divisors, whose sum is σ = 18030055680. Its totient is φ = 1459814400.

The previous prime is 5162268659. The next prime is 5162268677. The reversal of 5162268672 is 2768622615.

5162268672 is a `hidden beast` number, since 516 + 2 + 2 + 68 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (483840) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162268677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125908972 + ... + 125909012.

It is an arithmetic number, because the mean of its divisors is an integer number (31302180).

Almost surely, 2^5162268672 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 5162268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015027840).

5162268672 is an abundant number, since it is smaller than the sum of its proper divisors (12867787008).

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

5162268672 is a wasteful number, since it uses less digits than its factorization.

5162268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5162268672 is about 71848.9295118584. The cubic root of 5162268672 is about 1728.2777331367.

The spelling of 5162268672 in words is "five billion, one hundred sixty-two million, two hundred sixty-eight thousand, six hundred seventy-two".