51978570528000 has 576 divisors, whose sum is σ = 173516222880000. Its totient is φ = 13791345868800.

The previous prime is 51978570527959. The next prime is 51978570528013. The reversal of 51978570528000 is 82507587915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17868190546 + ... + 17868193454.

It is an arithmetic number, because the mean of its divisors is an integer number (301243442500).

Almost surely, 2^{51978570528000} is an apocalyptic number.

51978570528000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51978570528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86758111440000).

51978570528000 is an abundant number, since it is smaller than the sum of its proper divisors (121537652352000).

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

51978570528000 is a wasteful number, since it uses less digits than its factorization.

51978570528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 57.

The spelling of 51978570528000 in words is "fifty-one trillion, nine hundred seventy-eight billion, five hundred seventy million, five hundred twenty-eight thousand".