827527821120 has 1344 divisors, whose sum is σ = 3989951481600. Its totient is φ = 158715002880.

The previous prime is 827527821089. The next prime is 827527821143. The reversal of 827527821120 is 21128725728.

827527821120 is a `hidden beast` number, since 8 + 2 + 7 + 527 + 8 + 2 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×827527821120² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 60533646 + ... + 60547314.

It is an arithmetic number, because the mean of its divisors is an integer number (2968713900).

Almost surely, 2^827527821120 is an apocalyptic number.

827527821120 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 827527821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994975740800).

827527821120 is an abundant number, since it is smaller than the sum of its proper divisors (3162423660480).

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

827527821120 is a wasteful number, since it uses less digits than its factorization.

827527821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 827527821120 in words is "eight hundred twenty-seven billion, five hundred twenty-seven million, eight hundred twenty-one thousand, one hundred twenty".