825845267520 has 1344 divisors, whose sum is σ = 3708510865920. Its totient is φ = 168469217280.

The previous prime is 825845267509. The next prime is 825845267539. The reversal of 825845267520 is 25762548528.

825845267520 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 4 + 52 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 755576094 + ... + 755577186.

It is an arithmetic number, because the mean of its divisors is an integer number (2759308680).

Almost surely, 2^825845267520 is an apocalyptic number.

825845267520 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 825845267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854255432960).

825845267520 is an abundant number, since it is smaller than the sum of its proper divisors (2882665598400).

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

825845267520 is a wasteful number, since it uses less digits than its factorization.

825845267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 825845267520 in words is "eight hundred twenty-five billion, eight hundred forty-five million, two hundred sixty-seven thousand, five hundred twenty".