51655181760 has 448 divisors, whose sum is σ = 224284032000. Its totient is φ = 10898509824.

The previous prime is 51655181737. The next prime is 51655181761. The reversal of 51655181760 is 6718155615.

It is a happy number.

51655181760 is a `hidden beast` number, since 5 + 1 + 65 + 518 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (51655181761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753391 + ... + 819089.

It is an arithmetic number, because the mean of its divisors is an integer number (500634000).

Almost surely, 2^51655181760 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 51655181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112142016000).

51655181760 is an abundant number, since it is smaller than the sum of its proper divisors (172628850240).

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

51655181760 is a wasteful number, since it uses less digits than its factorization.

51655181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65745 (or 65729 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 51655181760 in words is "fifty-one billion, six hundred fifty-five million, one hundred eighty-one thousand, seven hundred sixty".