825153280000 has 960 divisors, whose sum is σ = 2566743379200. Its totient is φ = 258785280000.

The previous prime is 825153279959. The next prime is 825153280027. The reversal of 825153280000 is 82351528.

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 79 ways as a sum of consecutive naturals, for example, 6298879935 + ... + 6298880065.

It is an arithmetic number, because the mean of its divisors is an integer number (2673691020).

Almost surely, 2^825153280000 is an apocalyptic number.

825153280000 is a gapful number since it is divisible by the number (80) 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 825153280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283371689600).

825153280000 is an abundant number, since it is smaller than the sum of its proper divisors (1741590099200).

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

825153280000 is a wasteful number, since it uses less digits than its factorization.

825153280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 825153280000 in words is "eight hundred twenty-five billion, one hundred fifty-three million, two hundred eighty thousand".