51025840320 has 672 divisors, whose sum is σ = 204517849536. Its totient is φ = 10683187200.

The previous prime is 51025840253. The next prime is 51025840351. The reversal of 51025840320 is 2304852015.

It is a Cunningham number, because it is equal to 225889²-1.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 110684890 + ... + 110685350.

It is an arithmetic number, because the mean of its divisors is an integer number (304342038).

Almost surely, 2^51025840320 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 51025840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102258924768).

51025840320 is an abundant number, since it is smaller than the sum of its proper divisors (153492009216).

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

51025840320 is a wasteful number, since it uses less digits than its factorization.

51025840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 51025840320 in words is "fifty-one billion, twenty-five million, eight hundred forty thousand, three hundred twenty".