5726579601600 has 3528 divisors, whose sum is σ = 26459153380800. Its totient is φ = 1205292441600.

The previous prime is 5726579601599. The next prime is 5726579601661. The reversal of 5726579601600 is 61069756275.

5726579601600 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 579 + 6 + 0 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×5726579601600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 41198414331 + ... + 41198414469.

Almost surely, 2^{5726579601600} is an apocalyptic number.

5726579601600 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 5726579601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229576690400).

5726579601600 is an abundant number, since it is smaller than the sum of its proper divisors (20732573779200).

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

5726579601600 is a wasteful number, since it uses less digits than its factorization.

5726579601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5726579601600 in words is "five trillion, seven hundred twenty-six billion, five hundred seventy-nine million, six hundred one thousand, six hundred".