51696478034880 has 224 divisors, whose sum is σ = 187681553902080. Its totient is φ = 11810215587840.

The previous prime is 51696478034711. The next prime is 51696478034909. The reversal of 51696478034880 is 8843087469615.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×51696478034880² (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 10984366 + ... + 14968274.

It is an arithmetic number, because the mean of its divisors is an integer number (837864079920).

Almost surely, 2^{51696478034880} 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 51696478034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93840776951040).

51696478034880 is an abundant number, since it is smaller than the sum of its proper divisors (135985075867200).

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

51696478034880 is a wasteful number, since it uses less digits than its factorization.

51696478034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985867 (or 3985857 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 51696478034880 in words is "fifty-one trillion, six hundred ninety-six billion, four hundred seventy-eight million, thirty-four thousand, eight hundred eighty".