51590430720 has 384 divisors, whose sum is σ = 182182057200. Its totient is φ = 13501464576.

The previous prime is 51590430691. The next prime is 51590430739. The reversal of 51590430720 is 2703409515.

51590430720 is a `hidden beast` number, since 5 + 1 + 590 + 43 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86998744 + ... + 86999336.

Almost surely, 2^51590430720 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 51590430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91091028600).

51590430720 is an abundant number, since it is smaller than the sum of its proper divisors (130591626480).

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

51590430720 is an equidigital number, since it uses as much as digits as its factorization.

51590430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 51590430720 in words is "fifty-one billion, five hundred ninety million, four hundred thirty thousand, seven hundred twenty".