5724535356288 has 1152 divisors, whose sum is σ = 20439676857600. Its totient is φ = 1504703692800.

The previous prime is 5724535356277. The next prime is 5724535356301. The reversal of 5724535356288 is 8826535354275.

5724535356288 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 535 + 35 + 62 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5724535356288² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13662375343 + ... + 13662375761.

It is an arithmetic number, because the mean of its divisors is an integer number (17742775050).

Almost surely, 2^{5724535356288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5724535356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219838428800).

5724535356288 is an abundant number, since it is smaller than the sum of its proper divisors (14715141501312).

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

5724535356288 is a wasteful number, since it uses less digits than its factorization.

5724535356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 546 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 63.

The spelling of 5724535356288 in words is "five trillion, seven hundred twenty-four billion, five hundred thirty-five million, three hundred fifty-six thousand, two hundred eighty-eight".