2825915129856 has 1344 divisors, whose sum is σ = 10843794984960. Its totient is φ = 720139714560.

The previous prime is 2825915129819. The next prime is 2825915129923. The reversal of 2825915129856 is 6589215195282.

2825915129856 is a `hidden beast` number, since 2 + 8 + 25 + 9 + 1 + 512 + 98 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2825915129856² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2825915129793 and 2825915129802.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4367720125 + ... + 4367720771.

It is an arithmetic number, because the mean of its divisors is an integer number (8068299840).

Almost surely, 2^{2825915129856} is an apocalyptic number.

2825915129856 is a gapful number since it is divisible by the number (26) 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 2825915129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421897492480).

2825915129856 is an abundant number, since it is smaller than the sum of its proper divisors (8017879855104).

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

2825915129856 is a wasteful number, since it uses less digits than its factorization.

2825915129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 703 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 2825915129856 in words is "two trillion, eight hundred twenty-five billion, nine hundred fifteen million, one hundred twenty-nine thousand, eight hundred fifty-six".