51701436864 has 1120 divisors, whose sum is σ = 213495575040. Its totient is φ = 11943936000.

The previous prime is 51701436859. The next prime is 51701436889. The reversal of 51701436864 is 46863410715.

51701436864 is a `hidden beast` number, since 517 + 0 + 14 + 3 + 68 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128931064 + ... + 128931464.

Almost surely, 2^51701436864 is an apocalyptic number.

51701436864 is a gapful number since it is divisible by the number (54) 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 51701436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106747787520).

51701436864 is an abundant number, since it is smaller than the sum of its proper divisors (161794138176).

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

51701436864 is a wasteful number, since it uses less digits than its factorization.

51701436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 517014 and 36864, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 51701436864 in words is "fifty-one billion, seven hundred one million, four hundred thirty-six thousand, eight hundred sixty-four".