51672864531456 has 891 divisors, whose sum is σ = 183505841188371. Its totient is φ = 13961796968448.

The previous prime is 51672864531451. The next prime is 51672864531467. The reversal of 51672864531456 is 65413546827615.

The square root of 51672864531456 is 7188384.

It is a perfect power (a square), and thus also a powerful number.

51672864531456 is a `hidden beast` number, since 5 + 1 + 6 + 72 + 8 + 64 + 53 + 1 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51672864531393 and 51672864531402.

It is not an unprimeable number, because it can be changed into a prime (51672864531451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 91781286631 + ... + 91781287193.

Almost surely, 2^{51672864531456} is an apocalyptic number.

51672864531456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51672864531456 is the 7188384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51672864531456

51672864531456 is an abundant number, since it is smaller than the sum of its proper divisors (131832976656915).

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

51672864531456 is an equidigital number, since it uses as much as digits as its factorization.

51672864531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 594 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 51672864531456 in words is "fifty-one trillion, six hundred seventy-two billion, eight hundred sixty-four million, five hundred thirty-one thousand, four hundred fifty-six".