16135610886240 has 768 divisors, whose sum is σ = 53967676170240. Its totient is φ = 4047401779200.

The previous prime is 16135610886233. The next prime is 16135610886257. The reversal of 16135610886240 is 4268801653161.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39451371156 + ... + 39451371564.

It is an arithmetic number, because the mean of its divisors is an integer number (70270411680).

Almost surely, 2^{16135610886240} is an apocalyptic number.

16135610886240 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 16135610886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983838085120).

16135610886240 is an abundant number, since it is smaller than the sum of its proper divisors (37832065284000).

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

16135610886240 is a wasteful number, since it uses less digits than its factorization.

16135610886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 16135610886240 in words is "sixteen trillion, one hundred thirty-five billion, six hundred ten million, eight hundred eighty-six thousand, two hundred forty".