51349705418880 has 768 divisors, whose sum is σ = 201141299399040. Its totient is φ = 12414885396480.

The previous prime is 51349705418861. The next prime is 51349705418899. The reversal of 51349705418880 is 8881450794315.

51349705418880 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 9 + 7 + 0 + 541 + 8 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (51349705418861) and next prime (51349705418899).

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, 638058324 + ... + 638138796.

Almost surely, 2^{51349705418880} 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 51349705418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100570649699520).

51349705418880 is an abundant number, since it is smaller than the sum of its proper divisors (149791593980160).

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

51349705418880 is a wasteful number, since it uses less digits than its factorization.

51349705418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80891 (or 80867 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 51349705418880 in words is "fifty-one trillion, three hundred forty-nine billion, seven hundred five million, four hundred eighteen thousand, eight hundred eighty".