5798723295456 has 864 divisors, whose sum is σ = 21366646269696. Its totient is φ = 1478605363200.

The previous prime is 5798723295451. The next prime is 5798723295481. The reversal of 5798723295456 is 6545923278975.

5798723295456 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 72 + 3 + 2 + 9 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5798723295451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5465337166 + ... + 5465338226.

It is an arithmetic number, because the mean of its divisors is an integer number (24729914664).

Almost surely, 2^{5798723295456} is an apocalyptic number.

5798723295456 is a gapful number since it is divisible by the number (56) 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 5798723295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10683323134848).

5798723295456 is an abundant number, since it is smaller than the sum of its proper divisors (15567922974240).

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

5798723295456 is a wasteful number, since it uses less digits than its factorization.

5798723295456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1117 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 72.

The spelling of 5798723295456 in words is "five trillion, seven hundred ninety-eight billion, seven hundred twenty-three million, two hundred ninety-five thousand, four hundred fifty-six".