16490580480 has 960 divisors, whose sum is σ = 68429370240. Its totient is φ = 3730636800.

The previous prime is 16490580427. The next prime is 16490580481. The reversal of 16490580480 is 8408509461.

16490580480 is a `hidden beast` number, since 1 + 6 + 4 + 90 + 5 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16490580481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402209260 + ... + 402209300.

It is an arithmetic number, because the mean of its divisors is an integer number (71280594).

Almost surely, 2^16490580480 is an apocalyptic number.

16490580480 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 16490580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214685120).

16490580480 is an abundant number, since it is smaller than the sum of its proper divisors (51938789760).

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

16490580480 is a wasteful number, since it uses less digits than its factorization.

16490580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 16490580480 in words is "sixteen billion, four hundred ninety million, five hundred eighty thousand, four hundred eighty".