2065125070848 has 768 divisors, whose sum is σ = 6921692144640. Its totient is φ = 534069116928.

The previous prime is 2065125070733. The next prime is 2065125070997. The reversal of 2065125070848 is 8480705215602.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2065125070797 and 2065125070806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624046711 + ... + 2624047497.

It is an arithmetic number, because the mean of its divisors is an integer number (9012619980).

Almost surely, 2^{2065125070848} is an apocalyptic number.

2065125070848 is a gapful number since it is divisible by the number (28) 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 2065125070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460846072320).

2065125070848 is an abundant number, since it is smaller than the sum of its proper divisors (4856567073792).

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

2065125070848 is a wasteful number, since it uses less digits than its factorization.

2065125070848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 2065125070848 in words is "two trillion, sixty-five billion, one hundred twenty-five million, seventy thousand, eight hundred forty-eight".