51062912640 has 192 divisors, whose sum is σ = 181092960360. Its totient is φ = 13248700416.

The previous prime is 51062912629. The next prime is 51062912653. The reversal of 51062912640 is 4621926015.

51062912640 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 2 + 9 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39080545344 + 11982367296 = 197688^2 + 109464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51062912595 and 51062912604.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93322 + ... + 332918.

Almost surely, 2^51062912640 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 51062912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90546480180).

51062912640 is an abundant number, since it is smaller than the sum of its proper divisors (130030047720).

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

51062912640 is a wasteful number, since it uses less digits than its factorization.

51062912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239659 (or 239644 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 51062912640 in words is "fifty-one billion, sixty-two million, nine hundred twelve thousand, six hundred forty".