16505677440 has 288 divisors, whose sum is σ = 66302797860. Its totient is φ = 3772661760.

The previous prime is 16505677399. The next prime is 16505677453. The reversal of 16505677440 is 4477650561.

16505677440 is a `hidden beast` number, since 16 + 5 + 0 + 567 + 74 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15581030976 + 924646464 = 124824^2 + 30408^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 253000 + ... + 311480.

Almost surely, 2^16505677440 is an apocalyptic number.

16505677440 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 16505677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33151398930).

16505677440 is an abundant number, since it is smaller than the sum of its proper divisors (49797120420).

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

16505677440 is a wasteful number, since it uses less digits than its factorization.

16505677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58520 (or 58498 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 16505677440 in words is "sixteen billion, five hundred five million, six hundred seventy-seven thousand, four hundred forty".