826019406072 has 256 divisors, whose sum is σ = 2634865459200. Its totient is φ = 234875859840.

The previous prime is 826019406041. The next prime is 826019406109. The reversal of 826019406072 is 270604910628.

It is a happy number.

826019406072 is a `hidden beast` number, since 8 + 26 + 0 + 19 + 4 + 0 + 607 + 2 = 666.

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, 462237163 + ... + 462238949.

It is an arithmetic number, because the mean of its divisors is an integer number (10292443200).

Almost surely, 2^826019406072 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 826019406072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317432729600).

826019406072 is an abundant number, since it is smaller than the sum of its proper divisors (1808846053128).

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

826019406072 is a wasteful number, since it uses less digits than its factorization.

826019406072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 826019406072 in words is "eight hundred twenty-six billion, nineteen million, four hundred six thousand, seventy-two".