16011290880 has 864 divisors, whose sum is σ = 66693594240. Its totient is φ = 3503554560.

The previous prime is 16011290873. The next prime is 16011290881. The reversal of 16011290880 is 8809211061.

It is a super-2 number, since 2×16011290880² (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 not an unprimeable number, because it can be changed into a prime (16011290881) 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, 48372315 + ... + 48372645.

It is an arithmetic number, because the mean of its divisors is an integer number (77191660).

Almost surely, 2^16011290880 is an apocalyptic number.

16011290880 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 16011290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346797120).

16011290880 is an abundant number, since it is smaller than the sum of its proper divisors (50682303360).

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

16011290880 is a wasteful number, since it uses less digits than its factorization.

16011290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 16011290880 in words is "sixteen billion, eleven million, two hundred ninety thousand, eight hundred eighty".