51184065240 has 1280 divisors, whose sum is σ = 225815040000. Its totient is φ = 10302888960.

The previous prime is 51184065193. The next prime is 51184065241. The reversal of 51184065240 is 4256048115.

It is a happy number.

51184065240 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 406 + 5 + 240 = 666.

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 = 51184065195 and 51184065204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51184065241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 647899521 + ... + 647899599.

It is an arithmetic number, because the mean of its divisors is an integer number (176418000).

Almost surely, 2^51184065240 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 51184065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520000).

51184065240 is an abundant number, since it is smaller than the sum of its proper divisors (174630974760).

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

51184065240 is a wasteful number, since it uses less digits than its factorization.

51184065240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51184065240 in words is "fifty-one billion, one hundred eighty-four million, sixty-five thousand, two hundred forty".