16126244640 has 960 divisors, whose sum is σ = 66389621760. Its totient is φ = 3649536000.

The previous prime is 16126244611. The next prime is 16126244707. The reversal of 16126244640 is 4644262161.

16126244640 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 6 + 2 + 4 + 4 + 640 = 666.

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 = 16126244595 and 16126244604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 181193716 + ... + 181193804.

It is an arithmetic number, because the mean of its divisors is an integer number (69155856).

Almost surely, 2^16126244640 is an apocalyptic number.

16126244640 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 16126244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194810880).

16126244640 is an abundant number, since it is smaller than the sum of its proper divisors (50263377120).

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

16126244640 is a wasteful number, since it uses less digits than its factorization.

16126244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16126244640 in words is "sixteen billion, one hundred twenty-six million, two hundred forty-four thousand, six hundred forty".