51073856064 has 672 divisors, whose sum is σ = 190580662272. Its totient is φ = 12796185600.

The previous prime is 51073856063. The next prime is 51073856101. The reversal of 51073856064 is 46065837015.

51073856064 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 38 + 5 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51073856063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166364199 + ... + 166364505.

It is an arithmetic number, because the mean of its divisors is an integer number (283602176).

Almost surely, 2^51073856064 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 51073856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95290331136).

51073856064 is an abundant number, since it is smaller than the sum of its proper divisors (139506806208).

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

51073856064 is a wasteful number, since it uses less digits than its factorization.

51073856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51073856064 in words is "fifty-one billion, seventy-three million, eight hundred fifty-six thousand, sixty-four".