16365381120 has 480 divisors, whose sum is σ = 63855627264. Its totient is φ = 3837542400.

The previous prime is 16365381113. The next prime is 16365381127. The reversal of 16365381120 is 2118356361.

16365381120 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 538 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16365381113) and next prime (16365381127).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (16365381127) 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, 7855599 + ... + 7857681.

Almost surely, 2^16365381120 is an apocalyptic number.

16365381120 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 16365381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31927813632).

16365381120 is an abundant number, since it is smaller than the sum of its proper divisors (47490246144).

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

16365381120 is a wasteful number, since it uses less digits than its factorization.

16365381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16365381120 in words is "sixteen billion, three hundred sixty-five million, three hundred eighty-one thousand, one hundred twenty".