825040162800 has 720 divisors, whose sum is σ = 3460205199360. Its totient is φ = 178039296000.

The previous prime is 825040162711. The next prime is 825040162853. The reversal of 825040162800 is 8261040528.

825040162800 is a `hidden beast` number, since 8 + 25 + 0 + 4 + 0 + 1 + 628 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32016321 + ... + 32042079.

Almost surely, 2^825040162800 is an apocalyptic number.

825040162800 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 825040162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730102599680).

825040162800 is an abundant number, since it is smaller than the sum of its proper divisors (2635165036560).

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

825040162800 is a wasteful number, since it uses less digits than its factorization.

825040162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25862 (or 25848 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 825040162800 in words is "eight hundred twenty-five billion, forty million, one hundred sixty-two thousand, eight hundred".