16956311040 has 160 divisors (see below), whose sum is σ = 60230475360. Its totient is φ = 4521664512.

The previous prime is 16956311033. The next prime is 16956311063. The reversal of 16956311040 is 4011365961.

16956311040 is a `hidden beast` number, since 1 + 6 + 9 + 5 + 631 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 16956310986 and 16956311004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53539 + ... + 191778.

It is an arithmetic number, because the mean of its divisors is an integer number (376440471).

Almost surely, 2^16956311040 is an apocalyptic number.

16956311040 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 16956311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30115237680).

16956311040 is an abundant number, since it is smaller than the sum of its proper divisors (43274164320).

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

16956311040 is an equidigital number, since it uses as much as digits as its factorization.

16956311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245349 (or 245327 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 16956311040 in words is "sixteen billion, nine hundred fifty-six million, three hundred eleven thousand, forty".