826484312160 has 768 divisors, whose sum is σ = 3231693158400. Its totient is φ = 195875463168.

The previous prime is 826484312149. The next prime is 826484312177. The reversal of 826484312160 is 61213484628.

826484312160 is a `hidden beast` number, since 8 + 2 + 6 + 484 + 3 + 1 + 2 + 160 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1112360749 + ... + 1112361491.

It is an arithmetic number, because the mean of its divisors is an integer number (4207933800).

Almost surely, 2^826484312160 is an apocalyptic number.

826484312160 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 826484312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615846579200).

826484312160 is an abundant number, since it is smaller than the sum of its proper divisors (2405208846240).

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

826484312160 is a wasteful number, since it uses less digits than its factorization.

826484312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 826484312160 its reverse (61213484628), we get a palindrome (887697796788).

The spelling of 826484312160 in words is "eight hundred twenty-six billion, four hundred eighty-four million, three hundred twelve thousand, one hundred sixty".