825911436560 has 180 divisors, whose sum is σ = 2372883088932. Its totient is φ = 266512232448.

The previous prime is 825911436557. The next prime is 825911436583. The reversal of 825911436560 is 65634119528.

It can be written as a sum of positive squares in 6 ways, for example, as 15904236544 + 810007200016 = 126112^2 + 900004^2 .

It is a super-3 number, since 3×825911436560³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 825911436499 and 825911436508.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 768362 + ... + 1497398.

Almost surely, 2^825911436560 is an apocalyptic number.

825911436560 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 825911436560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186441544466).

825911436560 is an abundant number, since it is smaller than the sum of its proper divisors (1546971652372).

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

825911436560 is a wasteful number, since it uses less digits than its factorization.

825911436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729098 (or 729068 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

It can be divided in two parts, 82591 and 1436560, that added together give a palindrome (1519151).

The spelling of 825911436560 in words is "eight hundred twenty-five billion, nine hundred eleven million, four hundred thirty-six thousand, five hundred sixty".