825102735424800 has 2304 divisors, whose sum is σ = 3432529304064000. Its totient is φ = 171449826508800.

The previous prime is 825102735424757. The next prime is 825102735424829. The reversal of 825102735424800 is 8424537201528.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42245791035 + ... + 42245810565.

It is an arithmetic number, because the mean of its divisors is an integer number (1489813066000).

Almost surely, 2^{825102735424800} is an apocalyptic number.

825102735424800 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 825102735424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716264652032000).

825102735424800 is an abundant number, since it is smaller than the sum of its proper divisors (2607426568639200).

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

825102735424800 is a wasteful number, since it uses less digits than its factorization.

825102735424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19677 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 825102735424800 in words is "eight hundred twenty-five trillion, one hundred two billion, seven hundred thirty-five million, four hundred twenty-four thousand, eight hundred".