51949031680 has 540 divisors, whose sum is σ = 162219331260. Its totient is φ = 15874080768.

The previous prime is 51949031653. The next prime is 51949031707. The reversal of 51949031680 is 8613094915.

It is an interprime number because it is at equal distance from previous prime (51949031653) and next prime (51949031707).

It can be written as a sum of positive squares in 10 ways, for example, as 51794477056 + 154554624 = 227584^2 + 12432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51949031680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1791345906 + ... + 1791345934.

It is an arithmetic number, because the mean of its divisors is an integer number (300406169).

Almost surely, 2^51949031680 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 51949031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81109665630).

51949031680 is an abundant number, since it is smaller than the sum of its proper divisors (110270299580).

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

51949031680 is an frugal number, since it uses more digits than its factorization.

51949031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 51949031680 in words is "fifty-one billion, nine hundred forty-nine million, thirty-one thousand, six hundred eighty".