51074105958224 has 80 divisors (see below), whose sum is σ = 102582541011456. Its totient is φ = 24608218521600.

The previous prime is 51074105958223. The next prime is 51074105958307. The reversal of 51074105958224 is 42285950147015.

It is a Cunningham number, because it is equal to 7146615²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51074105958223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1772345864 + ... + 1772374680.

Almost surely, 2^{51074105958224} 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 51074105958224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51291270505728).

51074105958224 is an abundant number, since it is smaller than the sum of its proper divisors (51508435053232).

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

51074105958224 is a wasteful number, since it uses less digits than its factorization.

51074105958224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43924 (or 43918 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 53.

The spelling of 51074105958224 in words is "fifty-one trillion, seventy-four billion, one hundred five million, nine hundred fifty-eight thousand, two hundred twenty-four".