16779312000 has 960 divisors, whose sum is σ = 69139390320. Its totient is φ = 4029696000.

The previous prime is 16779311959. The next prime is 16779312023. The reversal of 16779312000 is 21397761.

It is a happy number.

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

It is a super-2 number, since 2×16779312000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156815947 + ... + 156816053.

Almost surely, 2^16779312000 is an apocalyptic number.

16779312000 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 16779312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569695160).

16779312000 is an abundant number, since it is smaller than the sum of its proper divisors (52360078320).

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

16779312000 is a wasteful number, since it uses less digits than its factorization.

16779312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 16779312000 in words is "sixteen billion, seven hundred seventy-nine million, three hundred twelve thousand".