826256537040 has 640 divisors, whose sum is σ = 3049313402880. Its totient is φ = 182917785600.

The previous prime is 826256537039. The next prime is 826256537047. The reversal of 826256537040 is 40735652628.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826256537047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157951225 + ... + 157956455.

It is an arithmetic number, because the mean of its divisors is an integer number (4764552192).

Almost surely, 2^826256537040 is an apocalyptic number.

826256537040 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 826256537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524656701440).

826256537040 is an abundant number, since it is smaller than the sum of its proper divisors (2223056865840).

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

826256537040 is a wasteful number, since it uses less digits than its factorization.

826256537040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 826256537040 in words is "eight hundred twenty-six billion, two hundred fifty-six million, five hundred thirty-seven thousand, forty".