16135405711488 has 960 divisors, whose sum is σ = 60234000472800. Its totient is φ = 4260849868800.

The previous prime is 16135405711487. The next prime is 16135405711499. The reversal of 16135405711488 is 88411750453161.

16135405711488 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 54 + 0 + 571 + 14 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16135405711487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 395736543 + ... + 395777313.

Almost surely, 2^{16135405711488} is an apocalyptic number.

16135405711488 is a gapful number since it is divisible by the number (18) 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 16135405711488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117000236400).

16135405711488 is an abundant number, since it is smaller than the sum of its proper divisors (44098594761312).

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

16135405711488 is a wasteful number, since it uses less digits than its factorization.

16135405711488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871 (or 40843 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 16135405711488 in words is "sixteen trillion, one hundred thirty-five billion, four hundred five million, seven hundred eleven thousand, four hundred eighty-eight".