825252737400 has 3456 divisors, whose sum is σ = 4019667724800. Its totient is φ = 155196518400.

The previous prime is 825252737317. The next prime is 825252737417. The reversal of 825252737400 is 4737252528.

825252737400 is a `hidden beast` number, since 8 + 2 + 52 + 527 + 3 + 74 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 13528733370 + ... + 13528733430.

It is an arithmetic number, because the mean of its divisors is an integer number (1163098300).

Almost surely, 2^825252737400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825252737400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009833862400).

825252737400 is an abundant number, since it is smaller than the sum of its proper divisors (3194414987400).

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

825252737400 is a wasteful number, since it uses less digits than its factorization.

825252737400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

Adding to 825252737400 its reverse (4737252528), we get a palindrome (829989989928).

The spelling of 825252737400 in words is "eight hundred twenty-five billion, two hundred fifty-two million, seven hundred thirty-seven thousand, four hundred".