51456705408 has 320 divisors, whose sum is σ = 167749995600. Its totient is φ = 15585067008.

The previous prime is 51456705401. The next prime is 51456705439. The reversal of 51456705408 is 80450765415.

51456705408 is a `hidden beast` number, since 5 + 1 + 45 + 67 + 0 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51456705401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5106391 + ... + 5116457.

Almost surely, 2^51456705408 is an apocalyptic number.

51456705408 is a gapful number since it is divisible by the number (58) 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 51456705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83874997800).

51456705408 is an abundant number, since it is smaller than the sum of its proper divisors (116293290192).

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

51456705408 is a wasteful number, since it uses less digits than its factorization.

51456705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 51456705408 in words is "fifty-one billion, four hundred fifty-six million, seven hundred five thousand, four hundred eight".