51109000470 has 192 divisors, whose sum is σ = 148106859264. Its totient is φ = 12124296960.

The previous prime is 51109000463. The next prime is 51109000493. The reversal of 51109000470 is 7400090115.

51109000470 is a nontrivial binomial coefficient, being equal to C(319716, 2).

It is a super-2 number, since 2×51109000470² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8789284 + ... + 8795096.

It is an arithmetic number, because the mean of its divisors is an integer number (771389892).

Almost surely, 2^51109000470 is an apocalyptic number.

51109000470 is the 319715-th triangular number and also the 159858-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51109000470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74053429632).

51109000470 is an abundant number, since it is smaller than the sum of its proper divisors (96997858794).

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

51109000470 is a wasteful number, since it uses less digits than its factorization.

51109000470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 51109000470 its reverse (7400090115), we get a palindrome (58509090585).

The spelling of 51109000470 in words is "fifty-one billion, one hundred nine million, four hundred seventy", and thus it is an aban number.