5106211680 has 96 divisors (see below), whose sum is σ = 16104632544. Its totient is φ = 1359958016.

The previous prime is 5106211667. The next prime is 5106211703. The reversal of 5106211680 is 861126015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405154 + ... + 417566.

It is an arithmetic number, because the mean of its divisors is an integer number (167756589).

Almost surely, 2^5106211680 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 5106211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052316272).

5106211680 is an abundant number, since it is smaller than the sum of its proper divisors (10998420864).

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

5106211680 is a wasteful number, since it uses less digits than its factorization.

5106211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5106211680 is about 71457.7615098598. The cubic root of 5106211680 is about 1721.9991717484. Note that the first 3 decimals are identical.

Adding to 5106211680 its reverse (861126015), we get a palindrome (5967337695).

The spelling of 5106211680 in words is "five billion, one hundred six million, two hundred eleven thousand, six hundred eighty".