51444152300205 has 96 divisors (see below), whose sum is σ = 103589236827648. Its totient is φ = 23131018713600.

The previous prime is 51444152300117. The next prime is 51444152300279. The reversal of 51444152300205 is 50200325144415.

51444152300205 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 415 + 2 + 30 + 0 + 205 = 666.

It is not a de Polignac number, because 51444152300205 - 2¹⁸ = 51444152038061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51444152300205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6683827 + ... + 12147503.

It is an arithmetic number, because the mean of its divisors is an integer number (1079054550288).

Almost surely, 2^{51444152300205} is an apocalyptic number.

It is an amenable number.

51444152300205 is an abundant number, since it is smaller than the sum of its proper divisors (52145084527443).

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

51444152300205 is a wasteful number, since it uses less digits than its factorization.

51444152300205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464187 (or 5464184 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 51444152300205 in words is "fifty-one trillion, four hundred forty-four billion, one hundred fifty-two million, three hundred thousand, two hundred five".