827436950081280 has 864 divisors, whose sum is σ = 3575861717395968. Its totient is φ = 171617041612800.

The previous prime is 827436950081179. The next prime is 827436950081341. The reversal of 827436950081280 is 82180059634728.

827436950081280 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 36 + 9 + 500 + 8 + 12 + 80 = 666.

827436950081280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 479026527 + ... + 480750753.

It is a 2-persistent number, because it is pandigital, and so is 2⋅827436950081280 = 1654873900162560, but 3⋅827436950081280 = 2482310850243840 is not.

Almost surely, 2^{827436950081280} is an apocalyptic number.

827436950081280 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 827436950081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787930858697984).

827436950081280 is an abundant number, since it is smaller than the sum of its proper divisors (2748424767314688).

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

827436950081280 is a wasteful number, since it uses less digits than its factorization.

827436950081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724813 (or 1724796 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 827436950081280 in words is "eight hundred twenty-seven trillion, four hundred thirty-six billion, nine hundred fifty million, eighty-one thousand, two hundred eighty".