16381019520 has 384 divisors, whose sum is σ = 60164544960. Its totient is φ = 4097753088.

The previous prime is 16381019453. The next prime is 16381019521. The reversal of 16381019520 is 2591018361.

16381019520 is a `hidden beast` number, since 1 + 638 + 1 + 0 + 19 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (16381019521) 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, 7020274 + ... + 7022606.

Almost surely, 2^16381019520 is an apocalyptic number.

16381019520 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 16381019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30082272480).

16381019520 is an abundant number, since it is smaller than the sum of its proper divisors (43783525440).

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

16381019520 is a wasteful number, since it uses less digits than its factorization.

16381019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 16381019520 in words is "sixteen billion, three hundred eighty-one million, nineteen thousand, five hundred twenty".