51795387146448 has 300 divisors, whose sum is σ = 163408592043840. Its totient is φ = 15188834102400.

The previous prime is 51795387146441. The next prime is 51795387146507. The reversal of 51795387146448 is 84464178359715.

51795387146448 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 5 + 38 + 7 + 146 + 448 = 666.

51795387146448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51795387146441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1462839561 + ... + 1462874967.

Almost surely, 2^{51795387146448} 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 51795387146448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81704296021920).

51795387146448 is an abundant number, since it is smaller than the sum of its proper divisors (111613204897392).

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

51795387146448 is an equidigital number, since it uses as much as digits as its factorization.

51795387146448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556 (or 35454 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 51795387146448 in words is "fifty-one trillion, seven hundred ninety-five billion, three hundred eighty-seven million, one hundred forty-six thousand, four hundred forty-eight".