5212164672 has 560 divisors, whose sum is σ = 18587923200. Its totient is φ = 1423319040.

The previous prime is 5212164653. The next prime is 5212164673. The reversal of 5212164672 is 2764612125.

It is a happy number.

5212164672 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 1 + 646 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5212164673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58563604 + ... + 58563692.

It is an arithmetic number, because the mean of its divisors is an integer number (33192720).

Almost surely, 2^5212164672 is an apocalyptic number.

5212164672 is a gapful number since it is divisible by the number (52) 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 5212164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293961600).

5212164672 is an abundant number, since it is smaller than the sum of its proper divisors (13375758528).

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

5212164672 is a wasteful number, since it uses less digits than its factorization.

5212164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5212164672 is about 72195.3230618161. The cubic root of 5212164672 is about 1733.8281219945.

Adding to 5212164672 its reverse (2764612125), we get a palindrome (7976776797).

The spelling of 5212164672 in words is "five billion, two hundred twelve million, one hundred sixty-four thousand, six hundred seventy-two".