825181073280 has 192 divisors, whose sum is σ = 2852082155520. Its totient is φ = 219845283840.

The previous prime is 825181073273. The next prime is 825181073303. The reversal of 825181073280 is 82370181528.

825181073280 is a `hidden beast` number, since 8 + 2 + 518 + 107 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 6230145 + ... + 6361215.

It is an arithmetic number, because the mean of its divisors is an integer number (14854594560).

Almost surely, 2^825181073280 is an apocalyptic number.

825181073280 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 825181073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426041077760).

825181073280 is an abundant number, since it is smaller than the sum of its proper divisors (2026901082240).

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

825181073280 is a wasteful number, since it uses less digits than its factorization.

825181073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132189 (or 132174 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 825181073280 in words is "eight hundred twenty-five billion, one hundred eighty-one million, seventy-three thousand, two hundred eighty".