11572256478816 has 720 divisors, whose sum is σ = 39503515423680. Its totient is φ = 3311577561600.

The previous prime is 11572256478787. The next prime is 11572256478817. The reversal of 11572256478816 is 61887465227511.

11572256478816 is a `hidden beast` number, since 1 + 1 + 57 + 2 + 2 + 564 + 7 + 8 + 8 + 16 = 666.

It is a super-2 number, since 2×11572256478816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11572256478817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1972428715 + ... + 1972434581.

It is an arithmetic number, because the mean of its divisors is an integer number (54865993644).

Almost surely, 2^{11572256478816} is an apocalyptic number.

11572256478816 is a gapful number since it is divisible by the number (16) 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 11572256478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751757711840).

11572256478816 is an abundant number, since it is smaller than the sum of its proper divisors (27931258944864).

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

11572256478816 is a wasteful number, since it uses less digits than its factorization.

11572256478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6233 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 11572256478816 in words is "eleven trillion, five hundred seventy-two billion, two hundred fifty-six million, four hundred seventy-eight thousand, eight hundred sixteen".