5210144640 has 512 divisors, whose sum is σ = 19674576000. Its totient is φ = 1300561920.

The previous prime is 5210144593. The next prime is 5210144689. The reversal of 5210144640 is 464410125.

5210144640 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 14 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18541300 + ... + 18541580.

Almost surely, 2^5210144640 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 5210144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837288000).

5210144640 is an abundant number, since it is smaller than the sum of its proper divisors (14464431360).

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

5210144640 is a wasteful number, since it uses less digits than its factorization.

5210144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5210144640 is about 72181.3316585390. The cubic root of 5210144640 is about 1733.6041049709.

Adding to 5210144640 its reverse (464410125), we get a palindrome (5674554765).

The spelling of 5210144640 in words is "five billion, two hundred ten million, one hundred forty-four thousand, six hundred forty".