16153863840 has 288 divisors, whose sum is σ = 58983724800. Its totient is φ = 4013660160.

The previous prime is 16153863833. The next prime is 16153863841. The reversal of 16153863840 is 4836835161.

16153863840 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 3 + 8 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16153863840² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16153863841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1664121 + ... + 1673799.

It is an arithmetic number, because the mean of its divisors is an integer number (204804600).

Almost surely, 2^16153863840 is an apocalyptic number.

16153863840 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 16153863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491862400).

16153863840 is an abundant number, since it is smaller than the sum of its proper divisors (42829860960).

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

16153863840 is a wasteful number, since it uses less digits than its factorization.

16153863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16153863840 in words is "sixteen billion, one hundred fifty-three million, eight hundred sixty-three thousand, eight hundred forty".