13522064400000 has 3072 divisors, whose sum is σ = 58499630784000. Its totient is φ = 3045703680000.

The previous prime is 13522064399999. The next prime is 13522064400007. The reversal of 13522064400000 is 446022531.

13522064400000 is a `hidden beast` number, since 1 + 3 + 52 + 206 + 4 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13522064400007) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 98701199932 + ... + 98701200068.

Almost surely, 2^{13522064400000} is an apocalyptic number.

13522064400000 is a gapful number since it is divisible by the number (10) 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 13522064400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29249815392000).

13522064400000 is an abundant number, since it is smaller than the sum of its proper divisors (44977566384000).

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

13522064400000 is a wasteful number, since it uses less digits than its factorization.

13522064400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 13522064400000 in words is "thirteen trillion, five hundred twenty-two billion, sixty-four million, four hundred thousand".