16135395840 has 960 divisors, whose sum is σ = 64345881600. Its totient is φ = 3715891200.

The previous prime is 16135395833. The next prime is 16135395841. The reversal of 16135395840 is 4859353161.

16135395840 is a `hidden beast` number, since 1 + 6 + 1 + 35 + 39 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (16135395841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393546220 + ... + 393546260.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^16135395840 is an apocalyptic number.

16135395840 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 16135395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172940800).

16135395840 is an abundant number, since it is smaller than the sum of its proper divisors (48210485760).

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

16135395840 is a wasteful number, since it uses less digits than its factorization.

16135395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 16135395840 in words is "sixteen billion, one hundred thirty-five million, three hundred ninety-five thousand, eight hundred forty".