826585468800 has 2304 divisors, whose sum is σ = 3633517440000. Its totient is φ = 163437281280.

The previous prime is 826585468781. The next prime is 826585468837. The reversal of 826585468800 is 8864585628.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10463107161 + ... + 10463107239.

It is an arithmetic number, because the mean of its divisors is an integer number (1577047500).

Almost surely, 2^826585468800 is an apocalyptic number.

826585468800 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 826585468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816758720000).

826585468800 is an abundant number, since it is smaller than the sum of its proper divisors (2806931971200).

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

826585468800 is a wasteful number, since it uses less digits than its factorization.

826585468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 826585468800 in words is "eight hundred twenty-six billion, five hundred eighty-five million, four hundred sixty-eight thousand, eight hundred".