51418644480 has 960 divisors, whose sum is σ = 216671132160. Its totient is φ = 11466178560.

The previous prime is 51418644479. The next prime is 51418644551. The reversal of 51418644480 is 8444681415.

51418644480 is a `hidden beast` number, since 5 + 141 + 8 + 64 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254113260 + ... + 1254113300.

It is an arithmetic number, because the mean of its divisors is an integer number (225699096).

Almost surely, 2^51418644480 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 51418644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108335566080).

51418644480 is an abundant number, since it is smaller than the sum of its proper divisors (165252487680).

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

51418644480 is an frugal number, since it uses more digits than its factorization.

51418644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 51418644480 in words is "fifty-one billion, four hundred eighteen million, six hundred forty-four thousand, four hundred eighty".