51667392471552 has 960 divisors, whose sum is σ = 181589734656000. Its totient is φ = 14378368942080.

The previous prime is 51667392471419. The next prime is 51667392471557. The reversal of 51667392471552 is 25517429376615.

51667392471552 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 7 + 3 + 9 + 2 + 4 + 71 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51667392471552.

It is not an unprimeable number, because it can be changed into a prime (51667392471557) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5114059333 + ... + 5114069435.

It is an arithmetic number, because the mean of its divisors is an integer number (189155973600).

Almost surely, 2^{51667392471552} is an apocalyptic number.

51667392471552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51667392471552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90794867328000).

51667392471552 is an abundant number, since it is smaller than the sum of its proper divisors (129922342184448).

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

51667392471552 is a wasteful number, since it uses less digits than its factorization.

51667392471552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10331 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 51667392471552 in words is "fifty-one trillion, six hundred sixty-seven billion, three hundred ninety-two million, four hundred seventy-one thousand, five hundred fifty-two".