53810398107648 has 2304 divisors, whose sum is σ = 217648529280000. Its totient is φ = 12647704559616.

The previous prime is 53810398107647. The next prime is 53810398107701. The reversal of 53810398107648 is 84670189301835.

53810398107648 is a `hidden beast` number, since 5 + 3 + 81 + 0 + 398 + 107 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53810398107647) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 26546816011 + ... + 26546818037.

It is an arithmetic number, because the mean of its divisors is an integer number (94465507500).

Almost surely, 2^{53810398107648} 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 53810398107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108824264640000).

53810398107648 is an abundant number, since it is smaller than the sum of its proper divisors (163838131172352).

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

53810398107648 is a wasteful number, since it uses less digits than its factorization.

53810398107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 53810398107648 in words is "fifty-three trillion, eight hundred ten billion, three hundred ninety-eight million, one hundred seven thousand, six hundred forty-eight".