16795855440 has 900 divisors, whose sum is σ = 73714667004. Its totient is φ = 3532419072.

The previous prime is 16795855399. The next prime is 16795855477. The reversal of 16795855440 is 4455859761.

It is a happy number.

16795855440 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 585 + 54 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8882685504 + 7913169936 = 94248^2 + 88956^2 .

It is a super-2 number, since 2×16795855440² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660724 + ... + 53661036.

Almost surely, 2^16795855440 is an apocalyptic number.

16795855440 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 16795855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36857333502).

16795855440 is an abundant number, since it is smaller than the sum of its proper divisors (56918811564).

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

16795855440 is a wasteful number, since it uses less digits than its factorization.

16795855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 16795855440 in words is "sixteen billion, seven hundred ninety-five million, eight hundred fifty-five thousand, four hundred forty".