825523105680 has 1200 divisors, whose sum is σ = 3676153086144. Its totient is φ = 170089113600.

The previous prime is 825523105651. The next prime is 825523105717. The reversal of 825523105680 is 86501325528.

825523105680 is a `hidden beast` number, since 8 + 2 + 5 + 52 + 31 + 0 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177491355 + ... + 177496005.

Almost surely, 2^825523105680 is an apocalyptic number.

825523105680 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 825523105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838076543072).

825523105680 is an abundant number, since it is smaller than the sum of its proper divisors (2850629980464).

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

825523105680 is a wasteful number, since it uses less digits than its factorization.

825523105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 825523105680 in words is "eight hundred twenty-five billion, five hundred twenty-three million, one hundred five thousand, six hundred eighty".