2072838585825 has 360 divisors, whose sum is σ = 4828977384000. Its totient is φ = 858620632320.

The previous prime is 2072838585817. The next prime is 2072838585827. The reversal of 2072838585825 is 5285858382702.

2072838585825 is a `hidden beast` number, since 2 + 0 + 7 + 28 + 3 + 8 + 585 + 8 + 25 = 666.

It is not a de Polignac number, because 2072838585825 - 2³ = 2072838585817 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2072838585827) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 142465651 + ... + 142480199.

Almost surely, 2^{2072838585825} is an apocalyptic number.

2072838585825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2072838585825 is an abundant number, since it is smaller than the sum of its proper divisors (2756138798175).

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

2072838585825 is a wasteful number, since it uses less digits than its factorization.

2072838585825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14643 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 2072838585825 in words is "two trillion, seventy-two billion, eight hundred thirty-eight million, five hundred eighty-five thousand, eight hundred twenty-five".