51440935680 has 360 divisors, whose sum is σ = 185890696992. Its totient is φ = 13581582336.

The previous prime is 51440935631. The next prime is 51440935723. The reversal of 51440935680 is 8653904415.

51440935680 is a `hidden beast` number, since 514 + 4 + 0 + 9 + 3 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 39 ways as a sum of consecutive naturals, for example, 10676632 + ... + 10681448.

Almost surely, 2^51440935680 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 51440935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92945348496).

51440935680 is an abundant number, since it is smaller than the sum of its proper divisors (134449761312).

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

51440935680 is a wasteful number, since it uses less digits than its factorization.

51440935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51440935680 in words is "fifty-one billion, four hundred forty million, nine hundred thirty-five thousand, six hundred eighty".