826325121600 has 504 divisors, whose sum is σ = 3343267392192. Its totient is φ = 191610777600.

The previous prime is 826325121571. The next prime is 826325121607. The reversal of 826325121600 is 6121523628.

826325121600 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 25 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (826325121607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3529794 + ... + 3756606.

It is an arithmetic number, because the mean of its divisors is an integer number (6633467048).

Almost surely, 2^826325121600 is an apocalyptic number.

826325121600 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 826325121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671633696096).

826325121600 is an abundant number, since it is smaller than the sum of its proper divisors (2516942270592).

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

826325121600 is a wasteful number, since it uses less digits than its factorization.

826325121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226875 (or 226857 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 826325121600 in words is "eight hundred twenty-six billion, three hundred twenty-five million, one hundred twenty-one thousand, six hundred".