5826442956400 has 240 divisors, whose sum is σ = 15961823877888. Its totient is φ = 2023115776000.

The previous prime is 5826442956343. The next prime is 5826442956403. The reversal of 5826442956400 is 46592446285.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5826442956403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59355360 + ... + 59453440.

Almost surely, 2^{5826442956400} is an apocalyptic number.

5826442956400 is a gapful number since it is divisible by the number (50) 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 5826442956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980911938944).

5826442956400 is an abundant number, since it is smaller than the sum of its proper divisors (10135380921488).

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

5826442956400 is a wasteful number, since it uses less digits than its factorization.

5826442956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98720 (or 98709 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 5826442956400 in words is "five trillion, eight hundred twenty-six billion, four hundred forty-two million, nine hundred fifty-six thousand, four hundred".