16287395040 has 576 divisors, whose sum is σ = 67025387520. Its totient is φ = 3522908160.

The previous prime is 16287395029. The next prime is 16287395057. The reversal of 16287395040 is 4059378261.

16287395040 is a `hidden beast` number, since 1 + 62 + 87 + 3 + 9 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14686006 + ... + 14687114.

It is an arithmetic number, because the mean of its divisors is an integer number (116363520).

It is a 1-persistent number, because it is pandigital, but 2⋅16287395040 = 32574790080 is not.

Almost surely, 2^16287395040 is an apocalyptic number.

16287395040 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 16287395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33512693760).

16287395040 is an abundant number, since it is smaller than the sum of its proper divisors (50737992480).

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

16287395040 is a wasteful number, since it uses less digits than its factorization.

16287395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16287395040 in words is "sixteen billion, two hundred eighty-seven million, three hundred ninety-five thousand, forty".