51078508906048 has 224 divisors, whose sum is σ = 122793529672800. Its totient is φ = 20843845779456.

The previous prime is 51078508905979. The next prime is 51078508906067. The reversal of 51078508906048 is 84060980587015.

It can be written as a sum of positive squares in 16 ways, for example, as 1270597875264 + 49807911030784 = 1127208^2 + 7057472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13493698 + ... + 16859326.

It is an arithmetic number, because the mean of its divisors is an integer number (548185400325).

Almost surely, 2^{51078508906048} is an apocalyptic number.

51078508906048 is a gapful number since it is divisible by the number (58) 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 51078508906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61396764836400).

51078508906048 is an abundant number, since it is smaller than the sum of its proper divisors (71715020766752).

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

51078508906048 is a wasteful number, since it uses less digits than its factorization.

51078508906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365737 (or 3365727 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 51078508906048 in words is "fifty-one trillion, seventy-eight billion, five hundred eight million, nine hundred six thousand, forty-eight".