5726879884800 has 2400 divisors, whose sum is σ = 23387595669504. Its totient is φ = 1379524608000.

The previous prime is 5726879884783. The next prime is 5726879884837. The reversal of 5726879884800 is 84889786275.

5726879884800 is a `hidden beast` number, since 5 + 7 + 2 + 68 + 7 + 9 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×5726879884800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45093542337 + ... + 45093542463.

Almost surely, 2^{5726879884800} is an apocalyptic number.

5726879884800 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 5726879884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693797834752).

5726879884800 is an abundant number, since it is smaller than the sum of its proper divisors (17660715784704).

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

5726879884800 is a wasteful number, since it uses less digits than its factorization.

5726879884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 5726879884800 in words is "five trillion, seven hundred twenty-six billion, eight hundred seventy-nine million, eight hundred eighty-four thousand, eight hundred".