16649025120 has 960 divisors, whose sum is σ = 76225121280. Its totient is φ = 3323400192.

The previous prime is 16649025109. The next prime is 16649025131. The reversal of 16649025120 is 2152094661.

16649025120 is a `hidden beast` number, since 1 + 6 + 649 + 0 + 2 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16649025109) and next prime (16649025131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 22407469 + ... + 22408211.

It is an arithmetic number, because the mean of its divisors is an integer number (79401168).

Almost surely, 2^16649025120 is an apocalyptic number.

16649025120 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 16649025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38112560640).

16649025120 is an abundant number, since it is smaller than the sum of its proper divisors (59576096160).

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

16649025120 is a wasteful number, since it uses less digits than its factorization.

16649025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

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

The spelling of 16649025120 in words is "sixteen billion, six hundred forty-nine million, twenty-five thousand, one hundred twenty".