51391914016320 has 336 divisors, whose sum is σ = 184747383016560. Its totient is φ = 13095527251968.

The previous prime is 51391914016309. The next prime is 51391914016343. The reversal of 51391914016320 is 2361041919315.

51391914016320 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 1 + 9 + 1 + 4 + 0 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 970098924096 + 50421815092224 = 984936^2 + 7100832^2 .

It is a super-2 number, since 2×51391914016320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4929664 + ... + 11273216.

It is an arithmetic number, because the mean of its divisors is an integer number (549843401835).

Almost surely, 2^{51391914016320} 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 51391914016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92373691508280).

51391914016320 is an abundant number, since it is smaller than the sum of its proper divisors (133355469000240).

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

51391914016320 is a wasteful number, since it uses less digits than its factorization.

51391914016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343702 (or 6343689 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 51391914016320 in words is "fifty-one trillion, three hundred ninety-one billion, nine hundred fourteen million, sixteen thousand, three hundred twenty".