5100729480 has 576 divisors, whose sum is σ = 21332263680. Its totient is φ = 1045094400.

The previous prime is 5100729479. The next prime is 5100729499. The reversal of 5100729480 is 849270015.

5100729480 is a `hidden beast` number, since 5 + 100 + 72 + 9 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18821745 + ... + 18822015.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^5100729480 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 5100729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

5100729480 is an abundant number, since it is smaller than the sum of its proper divisors (16231534200).

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

5100729480 is a wasteful number, since it uses less digits than its factorization.

5100729480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5100729480 is about 71419.3914843861. The cubic root of 5100729480 is about 1721.3826857272.

Adding to 5100729480 its reverse (849270015), we get a palindrome (5949999495).

The spelling of 5100729480 in words is "five billion, one hundred million, seven hundred twenty-nine thousand, four hundred eighty".