5210148672 has 168 divisors, whose sum is σ = 15474281472. Its totient is φ = 1674316800.

The previous prime is 5210148667. The next prime is 5210148679. The reversal of 5210148672 is 2768410125.

5210148672 is a `hidden beast` number, since 5 + 2 + 101 + 486 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210148679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7695598 + ... + 7696274.

Almost surely, 2^5210148672 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 5210148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737140736).

5210148672 is an abundant number, since it is smaller than the sum of its proper divisors (10264132800).

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

5210148672 is a wasteful number, since it uses less digits than its factorization.

5210148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5210148672 is about 72181.3595881929. The cubic root of 5210148672 is about 1733.6045521683.

Adding to 5210148672 its reverse (2768410125), we get a palindrome (7978558797).

The spelling of 5210148672 in words is "five billion, two hundred ten million, one hundred forty-eight thousand, six hundred seventy-two".