51455334672 has 320 divisors, whose sum is σ = 177720053760. Its totient is φ = 13935753216.

The previous prime is 51455334643. The next prime is 51455334691. The reversal of 51455334672 is 27643355415.

51455334672 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 533 + 46 + 72 = 666.

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 63 ways as a sum of consecutive naturals, for example, 7856103 + ... + 7862649.

It is an arithmetic number, because the mean of its divisors is an integer number (555375168).

Almost surely, 2^51455334672 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 51455334672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88860026880).

51455334672 is an abundant number, since it is smaller than the sum of its proper divisors (126264719088).

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

51455334672 is a wasteful number, since it uses less digits than its factorization.

51455334672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6695 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 51455334672 in words is "fifty-one billion, four hundred fifty-five million, three hundred thirty-four thousand, six hundred seventy-two".