825794500608 has 1152 divisors, whose sum is σ = 3146060736000. Its totient is φ = 211620003840.

The previous prime is 825794500571. The next prime is 825794500621. The reversal of 825794500608 is 806005497528.

825794500608 is a `hidden beast` number, since 8 + 2 + 5 + 79 + 4 + 500 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×825794500608² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069867898 + ... + 3069868166.

It is an arithmetic number, because the mean of its divisors is an integer number (2730955500).

Almost surely, 2^825794500608 is an apocalyptic number.

825794500608 is a gapful number since it is divisible by the number (88) 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 825794500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573030368000).

825794500608 is an abundant number, since it is smaller than the sum of its proper divisors (2320266235392).

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

825794500608 is a wasteful number, since it uses less digits than its factorization.

825794500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 825794500608 in words is "eight hundred twenty-five billion, seven hundred ninety-four million, five hundred thousand, six hundred eight".