51970164986880 has 2816 divisors, whose sum is σ = 236928387225600. Its totient is φ = 10527367495680.

The previous prime is 51970164986843. The next prime is 51970164986939. The reversal of 51970164986880 is 8868946107915.

51970164986880 is a `hidden beast` number, since 5 + 1 + 9 + 70 + 1 + 6 + 498 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51970164986799 and 51970164986808.

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 255 ways as a sum of consecutive naturals, for example, 19559714512 + ... + 19559717168.

Almost surely, 2^{51970164986880} 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 51970164986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118464193612800).

51970164986880 is an abundant number, since it is smaller than the sum of its proper divisors (184958222238720).

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

51970164986880 is a wasteful number, since it uses less digits than its factorization.

51970164986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 51970164986880 in words is "fifty-one trillion, nine hundred seventy billion, one hundred sixty-four million, nine hundred eighty-six thousand, eight hundred eighty".