827172950400 has 768 divisors, whose sum is σ = 3184381900800. Its totient is φ = 209400422400.

The previous prime is 827172950381. The next prime is 827172950413. The reversal of 827172950400 is 4059271728.

It is a happy number.

827172950400 is a `hidden beast` number, since 8 + 2 + 71 + 72 + 9 + 504 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141952287 + ... + 141958113.

It is an arithmetic number, because the mean of its divisors is an integer number (4146330600).

Almost surely, 2^827172950400 is an apocalyptic number.

827172950400 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 827172950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592190950400).

827172950400 is an abundant number, since it is smaller than the sum of its proper divisors (2357208950400).

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

827172950400 is a wasteful number, since it uses less digits than its factorization.

827172950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 827172950400 in words is "eight hundred twenty-seven billion, one hundred seventy-two million, nine hundred fifty thousand, four hundred".