51218231040 has 360 divisors, whose sum is σ = 194055356880. Its totient is φ = 12854329344.

The previous prime is 51218231039. The next prime is 51218231063. The reversal of 51218231040 is 4013281215.

51218231040 is a `hidden beast` number, since 512 + 1 + 82 + 31 + 0 + 40 = 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 51218230995 and 51218231013.

It is a congruent number.

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, 1748031 + ... + 1777089.

It is an arithmetic number, because the mean of its divisors is an integer number (539042658).

Almost surely, 2^51218231040 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 51218231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97027678440).

51218231040 is an abundant number, since it is smaller than the sum of its proper divisors (142837125840).

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

51218231040 is a wasteful number, since it uses less digits than its factorization.

51218231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29109 (or 29086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 51218231040 in words is "fifty-one billion, two hundred eighteen million, two hundred thirty-one thousand, forty".