826385331552 has 576 divisors, whose sum is σ = 2639728175616. Its totient is φ = 223693127680.

The previous prime is 826385331539. The next prime is 826385331557. The reversal of 826385331552 is 255133583628.

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

It is a junction number, because it is equal to n+sod(n) for n = 826385331495 and 826385331504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826385331557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642912933 + ... + 1642913435.

It is an arithmetic number, because the mean of its divisors is an integer number (4582861416).

Almost surely, 2^826385331552 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 826385331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319864087808).

826385331552 is an abundant number, since it is smaller than the sum of its proper divisors (1813342844064).

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

826385331552 is a wasteful number, since it uses less digits than its factorization.

826385331552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 732 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 826385331552 in words is "eight hundred twenty-six billion, three hundred eighty-five million, three hundred thirty-one thousand, five hundred fifty-two".