827481592073136 has 1920 divisors, whose sum is σ = 3181659024789504. Its totient is φ = 181404977725440.

The previous prime is 827481592073107. The next prime is 827481592073141. The reversal of 827481592073136 is 631370295184728.

It is a super-3 number, since 3×827481592073136³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 383 ways as a sum of consecutive naturals, for example, 160147392825 + ... + 160147397991.

It is a 1-persistent number, because it is pandigital, but 2⋅827481592073136 = 1654963184146272 is not.

Almost surely, 2^{827481592073136} 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 827481592073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590829512394752).

827481592073136 is an abundant number, since it is smaller than the sum of its proper divisors (2354177432716368).

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

827481592073136 is a wasteful number, since it uses less digits than its factorization.

827481592073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 827481592073136 in words is "eight hundred twenty-seven trillion, four hundred eighty-one billion, five hundred ninety-two million, seventy-three thousand, one hundred thirty-six".