51394008960 has 768 divisors, whose sum is σ = 216657792000. Its totient is φ = 10964533248.

The previous prime is 51394008959. The next prime is 51394008961. The reversal of 51394008960 is 6980049315.

It is a happy number.

51394008960 is a `hidden beast` number, since 513 + 9 + 40 + 0 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51394008959) and next prime (51394008961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51394008961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55923381 + ... + 55924299.

It is an arithmetic number, because the mean of its divisors is an integer number (282106500).

Almost surely, 2^51394008960 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 51394008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108328896000).

51394008960 is an abundant number, since it is smaller than the sum of its proper divisors (165263783040).

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

51394008960 is a wasteful number, since it uses less digits than its factorization.

51394008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 51394008960 in words is "fifty-one billion, three hundred ninety-four million, eight thousand, nine hundred sixty".