51956356366080 has 1152 divisors, whose sum is σ = 192079749120000. Its totient is φ = 13284821975040.

The previous prime is 51956356365959. The next prime is 51956356366097. The reversal of 51956356366080 is 8066365365915.

It is a happy number.

51956356366080 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 6 + 3 + 563 + 6 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×51956356366080³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51956356365999 and 51956356366017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80803042239 + ... + 80803042881.

Almost surely, 2^{51956356366080} 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 51956356366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96039874560000).

51956356366080 is an abundant number, since it is smaller than the sum of its proper divisors (140123392753920).

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

51956356366080 is a wasteful number, since it uses less digits than its factorization.

51956356366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 51956356366080 in words is "fifty-one trillion, nine hundred fifty-six billion, three hundred fifty-six million, three hundred sixty-six thousand, eighty".