827950496572800 has 1344 divisors, whose sum is σ = 3174404224345200. Its totient is φ = 213031067074560.

The previous prime is 827950496572783. The next prime is 827950496572811. The reversal of 827950496572800 is 8275694059728.

827950496572800 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 5 + 0 + 49 + 6 + 572 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×827950496572800² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 133475814499 + ... + 133475820701.

Almost surely, 2^{827950496572800} is an apocalyptic number.

827950496572800 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 827950496572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587202112172600).

827950496572800 is an abundant number, since it is smaller than the sum of its proper divisors (2346453727772400).

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

827950496572800 is a wasteful number, since it uses less digits than its factorization.

827950496572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 827950496572800 in words is "eight hundred twenty-seven trillion, nine hundred fifty billion, four hundred ninety-six million, five hundred seventy-two thousand, eight hundred".