51738745140 has 240 divisors, whose sum is σ = 168315840000. Its totient is φ = 13288520448.

The previous prime is 51738745129. The next prime is 51738745141. The reversal of 51738745140 is 4154783715.

51738745140 is a `hidden beast` number, since 51 + 7 + 3 + 87 + 4 + 514 + 0 = 666.

51738745140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51738745141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23441917 + ... + 23444123.

It is an arithmetic number, because the mean of its divisors is an integer number (701316000).

Almost surely, 2^51738745140 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 51738745140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84157920000).

51738745140 is an abundant number, since it is smaller than the sum of its proper divisors (116577094860).

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

51738745140 is a wasteful number, since it uses less digits than its factorization.

51738745140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 51738745140 in words is "fifty-one billion, seven hundred thirty-eight million, seven hundred forty-five thousand, one hundred forty".