11571426822400 has 243 divisors, whose sum is σ = 28996346783649. Its totient is φ = 4571857920000.

The previous prime is 11571426822367. The next prime is 11571426822409. The reversal of 11571426822400 is 422862417511.

The square root of 11571426822400 is 3401680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8783114631424 + 2788312190976 = 2963632^2 + 1669824^2 .

It is a super-2 number, since 2×11571426822400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11571426822409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27485574190 + ... + 27485574610.

Almost surely, 2^{11571426822400} is an apocalyptic number.

11571426822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11571426822400 is the 3401680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11571426822400

11571426822400 is an abundant number, since it is smaller than the sum of its proper divisors (17424919961249).

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

11571426822400 is an frugal number, since it uses more digits than its factorization.

11571426822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 11571426822400 in words is "eleven trillion, five hundred seventy-one billion, four hundred twenty-six million, eight hundred twenty-two thousand, four hundred".