827582050080 has 384 divisors, whose sum is σ = 2934037209600. Its totient is φ = 217839992832.

The previous prime is 827582050069. The next prime is 827582050147. The reversal of 827582050080 is 80050285728.

It is a super-2 number, since 2×827582050080² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285667192 + ... + 285670088.

It is an arithmetic number, because the mean of its divisors is an integer number (7640721900).

Almost surely, 2^827582050080 is an apocalyptic number.

827582050080 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 827582050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467018604800).

827582050080 is an abundant number, since it is smaller than the sum of its proper divisors (2106455159520).

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

827582050080 is a wasteful number, since it uses less digits than its factorization.

827582050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 827582050080 in words is "eight hundred twenty-seven billion, five hundred eighty-two million, fifty thousand, eighty".