16120671840 has 480 divisors, whose sum is σ = 70026707520. Its totient is φ = 3401035776.

The previous prime is 16120671829. The next prime is 16120671851. The reversal of 16120671840 is 4817602161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16120671829) and next prime (16120671851).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16120671795 and 16120671804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1172526 + ... + 1186194.

It is an arithmetic number, because the mean of its divisors is an integer number (145888974).

Almost surely, 2^16120671840 is an apocalyptic number.

16120671840 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 16120671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35013353760).

16120671840 is an abundant number, since it is smaller than the sum of its proper divisors (53906035680).

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

16120671840 is a wasteful number, since it uses less digits than its factorization.

16120671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13699 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16120671840 in words is "sixteen billion, one hundred twenty million, six hundred seventy-one thousand, eight hundred forty".