825445136880 has 720 divisors, whose sum is σ = 3584852054784. Its totient is φ = 168538890240.

The previous prime is 825445136843. The next prime is 825445136899. The reversal of 825445136880 is 88631544528.

825445136880 is a `hidden beast` number, since 8 + 2 + 5 + 44 + 513 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×825445136880² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 14188812 + ... + 14246868.

Almost surely, 2^825445136880 is an apocalyptic number.

825445136880 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 825445136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792426027392).

825445136880 is an abundant number, since it is smaller than the sum of its proper divisors (2759406917904).

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

825445136880 is a wasteful number, since it uses less digits than its factorization.

825445136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58134 (or 58118 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 825445136880 in words is "eight hundred twenty-five billion, four hundred forty-five million, one hundred thirty-six thousand, eight hundred eighty".