827501952480 has 384 divisors, whose sum is σ = 3291388950528. Its totient is φ = 170277076992.

The previous prime is 827501952437. The next prime is 827501952499. The reversal of 827501952480 is 84259105728.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 998824 + ... + 1628696.

It is an arithmetic number, because the mean of its divisors is an integer number (8571325392).

Almost surely, 2^827501952480 is an apocalyptic number.

827501952480 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 827501952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645694475264).

827501952480 is an abundant number, since it is smaller than the sum of its proper divisors (2463886998048).

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

827501952480 is a wasteful number, since it uses less digits than its factorization.

827501952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629938 (or 629930 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 827501952480 in words is "eight hundred twenty-seven billion, five hundred one million, nine hundred fifty-two thousand, four hundred eighty".