825610672267920 has 5120 divisors, whose sum is σ = 3826040832000000. Its totient is φ = 158691314073600.

The previous prime is 825610672267853. The next prime is 825610672268069. The reversal of 825610672267920 is 29762276016528.

825610672267920 is a `hidden beast` number, since 8 + 2 + 5 + 610 + 6 + 7 + 2 + 2 + 6 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×825610672267920² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3454437959161 + ... + 3454437959399.

It is an arithmetic number, because the mean of its divisors is an integer number (747273600000).

Almost surely, 2^{825610672267920} is an apocalyptic number.

825610672267920 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 825610672267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913020416000000).

825610672267920 is an abundant number, since it is smaller than the sum of its proper divisors (3000430159732080).

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

825610672267920 is a wasteful number, since it uses less digits than its factorization.

825610672267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 825610672267920 in words is "eight hundred twenty-five trillion, six hundred ten billion, six hundred seventy-two million, two hundred sixty-seven thousand, nine hundred twenty".