51790080032256 has 320 divisors, whose sum is σ = 143979244738560. Its totient is φ = 16524108103680.

The previous prime is 51790080032227. The next prime is 51790080032263. The reversal of 51790080032256 is 65223008009715.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12281259460 + ... + 12281263676.

It is an arithmetic number, because the mean of its divisors is an integer number (449935139808).

Almost surely, 2^{51790080032256} 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 51790080032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71989622369280).

51790080032256 is an abundant number, since it is smaller than the sum of its proper divisors (92189164706304).

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

51790080032256 is a wasteful number, since it uses less digits than its factorization.

51790080032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 51790080032256 in words is "fifty-one trillion, seven hundred ninety billion, eighty million, thirty-two thousand, two hundred fifty-six".