825207152000 has 1024 divisors, whose sum is σ = 2694540625920. Its totient is φ = 243855360000.

The previous prime is 825207151999. The next prime is 825207152071. The reversal of 825207152000 is 251702528.

It is a happy number.

It is a super-2 number, since 2×825207152000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1960111790 + ... + 1960112210.

It is an arithmetic number, because the mean of its divisors is an integer number (2631387330).

Almost surely, 2^825207152000 is an apocalyptic number.

825207152000 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 825207152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347270312960).

825207152000 is an abundant number, since it is smaller than the sum of its proper divisors (1869333473920).

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

825207152000 is a wasteful number, since it uses less digits than its factorization.

825207152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

Adding to 825207152000 its reverse (251702528), we get a palindrome (825458854528).

The spelling of 825207152000 in words is "eight hundred twenty-five billion, two hundred seven million, one hundred fifty-two thousand".