51466982160 has 240 divisors, whose sum is σ = 176368086720. Its totient is φ = 12405888000.

The previous prime is 51466982153. The next prime is 51466982207. The reversal of 51466982160 is 6128966415.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5193210 + ... + 5203110.

It is an arithmetic number, because the mean of its divisors is an integer number (734867028).

Almost surely, 2^51466982160 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 51466982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88184043360).

51466982160 is an abundant number, since it is smaller than the sum of its proper divisors (124901104560).

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

51466982160 is a wasteful number, since it uses less digits than its factorization.

51466982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 51466982160 in words is "fifty-one billion, four hundred sixty-six million, nine hundred eighty-two thousand, one hundred sixty".