13435221777120 has 1440 divisors, whose sum is σ = 59429591996544. Its totient is φ = 2829558251520.

The previous prime is 13435221777113. The next prime is 13435221777121. The reversal of 13435221777120 is 2177712253431.

13435221777120 is a `hidden beast` number, since 1 + 3 + 4 + 352 + 2 + 177 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435221777121) 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 239 ways as a sum of consecutive naturals, for example, 346543977 + ... + 346582743.

Almost surely, 2^{13435221777120} is an apocalyptic number.

13435221777120 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 13435221777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29714795998272).

13435221777120 is an abundant number, since it is smaller than the sum of its proper divisors (45994370219424).

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

13435221777120 is a wasteful number, since it uses less digits than its factorization.

13435221777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38846 (or 38818 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 13435221777120 in words is "thirteen trillion, four hundred thirty-five billion, two hundred twenty-one million, seven hundred seventy-seven thousand, one hundred twenty".