51671976710400 has 3240 divisors, whose sum is σ = 213783561351360. Its totient is φ = 12274185830400.

The previous prime is 51671976710371. The next prime is 51671976710401. The reversal of 51671976710400 is 401767917615.

51671976710400 is a `hidden beast` number, since 5 + 16 + 71 + 97 + 6 + 71 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51671976710401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 501669676749 + ... + 501669676851.

It is an arithmetic number, because the mean of its divisors is an integer number (65982580664).

Almost surely, 2^{51671976710400} is an apocalyptic number.

51671976710400 is a gapful number since it is divisible by the number (50) 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 51671976710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106891780675680).

51671976710400 is an abundant number, since it is smaller than the sum of its proper divisors (162111584640960).

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

51671976710400 is a wasteful number, since it uses less digits than its factorization.

51671976710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 51671976710400 in words is "fifty-one trillion, six hundred seventy-one billion, nine hundred seventy-six million, seven hundred ten thousand, four hundred".