825373451520 has 864 divisors, whose sum is σ = 3055584430080. Its totient is φ = 205249904640.

The previous prime is 825373451503. The next prime is 825373451531. The reversal of 825373451520 is 25154373528.

825373451520 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 73 + 4 + 51 + 520 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604250766 + ... + 3604250994.

Almost surely, 2^825373451520 is an apocalyptic number.

825373451520 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 825373451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527792215040).

825373451520 is an abundant number, since it is smaller than the sum of its proper divisors (2230210978560).

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

825373451520 is a wasteful number, since it uses less digits than its factorization.

825373451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 825373451520 in words is "eight hundred twenty-five billion, three hundred seventy-three million, four hundred fifty-one thousand, five hundred twenty".