16158162240 has 336 divisors, whose sum is σ = 62589436416. Its totient is φ = 3790540800.

The previous prime is 16158162217. The next prime is 16158162257. The reversal of 16158162240 is 4226185161.

It is a happy number.

16158162240 is a `hidden beast` number, since 1 + 615 + 8 + 16 + 2 + 24 + 0 = 666.

16158162240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16158162240² (a number of 21 digits) contains 22 as substring.

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 = 16158162195 and 16158162204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973854 + ... + 990306.

Almost surely, 2^16158162240 is an apocalyptic number.

16158162240 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 16158162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294718208).

16158162240 is an abundant number, since it is smaller than the sum of its proper divisors (46431274176).

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

16158162240 is a wasteful number, since it uses less digits than its factorization.

16158162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16158162240 in words is "sixteen billion, one hundred fifty-eight million, one hundred sixty-two thousand, two hundred forty".