51408783360 has 1152 divisors, whose sum is σ = 218016489600. Its totient is φ = 11041505280.

The previous prime is 51408783337. The next prime is 51408783373. The reversal of 51408783360 is 6338780415.

51408783360 is a `hidden beast` number, since 514 + 0 + 8 + 78 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327444402 + ... + 327444558.

It is an arithmetic number, because the mean of its divisors is an integer number (189250425).

Almost surely, 2^51408783360 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 51408783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109008244800).

51408783360 is an abundant number, since it is smaller than the sum of its proper divisors (166607706240).

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

51408783360 is a wasteful number, since it uses less digits than its factorization.

51408783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51408783360 in words is "fifty-one billion, four hundred eight million, seven hundred eighty-three thousand, three hundred sixty".