826223055840 has 1584 divisors, whose sum is σ = 3723577742304. Its totient is φ = 168700631040.

The previous prime is 826223055797. The next prime is 826223055841. The reversal of 826223055840 is 48550322628.

826223055840 is a `hidden beast` number, since 8 + 2 + 6 + 22 + 30 + 558 + 40 = 666.

826223055840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826223055841) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 26652356625 + ... + 26652356655.

Almost surely, 2^826223055840 is an apocalyptic number.

826223055840 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 826223055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861788871152).

826223055840 is an abundant number, since it is smaller than the sum of its proper divisors (2897354686464).

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

826223055840 is an equidigital number, since it uses as much as digits as its factorization.

826223055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 826223055840 in words is "eight hundred twenty-six billion, two hundred twenty-three million, fifty-five thousand, eight hundred forty".