51605941140 has 144 divisors (see below), whose sum is σ = 168759431568. Its totient is φ = 12689436672.

The previous prime is 51605941129. The next prime is 51605941147. The reversal of 51605941140 is 4114950615.

51605941140 is a `hidden beast` number, since 5 + 1 + 60 + 594 + 1 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3849706116 + 47756235024 = 62046^2 + 218532^2 .

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 = 51605941095 and 51605941104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51605941147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2274894 + ... + 2297466.

It is an arithmetic number, because the mean of its divisors is an integer number (1171940497).

Almost surely, 2^51605941140 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 51605941140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84379715784).

51605941140 is an abundant number, since it is smaller than the sum of its proper divisors (117153490428).

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

51605941140 is a wasteful number, since it uses less digits than its factorization.

51605941140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23578 (or 23573 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 51605941140 in words is "fifty-one billion, six hundred five million, nine hundred forty-one thousand, one hundred forty".