51609179381760 has 5376 divisors, whose sum is σ = 268336365373440. Its totient is φ = 8806025134080.

The previous prime is 51609179381759. The next prime is 51609179381801. The reversal of 51609179381760 is 6718397190615.

51609179381760 is a `hidden beast` number, since 5 + 1 + 609 + 1 + 7 + 9 + 3 + 8 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-3 number, since 3×51609179381760³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119189790504 + ... + 119189790936.

It is an arithmetic number, because the mean of its divisors is an integer number (49913758440).

Almost surely, 2^{51609179381760} 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 51609179381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134168182686720).

51609179381760 is an abundant number, since it is smaller than the sum of its proper divisors (216727185991680).

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

51609179381760 is a wasteful number, since it uses less digits than its factorization.

51609179381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 51609179381760 in words is "fifty-one trillion, six hundred nine billion, one hundred seventy-nine million, three hundred eighty-one thousand, seven hundred sixty".