16116627240 has 384 divisors, whose sum is σ = 64189843200. Its totient is φ = 3583802880.

The previous prime is 16116627223. The next prime is 16116627257. The reversal of 16116627240 is 4272661161.

16116627240 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 627 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16116627223) and next prime (16116627257).

It is a super-2 number, since 2×16116627240² (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 = 16116627195 and 16116627204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1953925 + ... + 1962155.

It is an arithmetic number, because the mean of its divisors is an integer number (167161050).

Almost surely, 2^16116627240 is an apocalyptic number.

16116627240 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 16116627240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32094921600).

16116627240 is an abundant number, since it is smaller than the sum of its proper divisors (48073215960).

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

16116627240 is a wasteful number, since it uses less digits than its factorization.

16116627240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16116627240 in words is "sixteen billion, one hundred sixteen million, six hundred twenty-seven thousand, two hundred forty".