827101260000 has 240 divisors, whose sum is σ = 3014510360400. Its totient is φ = 220560192000.

The previous prime is 827101259953. The next prime is 827101260019. The reversal of 827101260000 is 62101728.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225835 + ... + 1305834.

It is an arithmetic number, because the mean of its divisors is an integer number (12560459835).

Almost surely, 2^827101260000 is an apocalyptic number.

827101260000 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 827101260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507255180200).

827101260000 is an abundant number, since it is smaller than the sum of its proper divisors (2187409100400).

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

827101260000 is a wasteful number, since it uses less digits than its factorization.

827101260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531708 (or 1531679 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 827101260000 its reverse (62101728), we get a palindrome (827163361728).

The spelling of 827101260000 in words is "eight hundred twenty-seven billion, one hundred one million, two hundred sixty thousand".