51040117649152 has 144 divisors (see below), whose sum is σ = 106984282386240. Its totient is φ = 24280606310400.

The previous prime is 51040117649141. The next prime is 51040117649161. The reversal of 51040117649152 is 25194671104015.

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, 67818277 + ... + 68566747.

It is an arithmetic number, because the mean of its divisors is an integer number (742946405460).

Almost surely, 2^{51040117649152} 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 51040117649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492141193120).

51040117649152 is an abundant number, since it is smaller than the sum of its proper divisors (55944164737088).

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

51040117649152 is an equidigital number, since it uses as much as digits as its factorization.

51040117649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748690 (or 748676 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 51040117649152 in words is "fifty-one trillion, forty billion, one hundred seventeen million, six hundred forty-nine thousand, one hundred fifty-two".