16288776000 has 1344 divisors, whose sum is σ = 74081030400. Its totient is φ = 3527193600.

The previous prime is 16288775939. The next prime is 16288776011. The reversal of 16288776000 is 67788261.

16288776000 is a `hidden beast` number, since 16 + 28 + 8 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 191 ways as a sum of consecutive naturals, for example, 857303991 + ... + 857304009.

Almost surely, 2^16288776000 is an apocalyptic number.

16288776000 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 16288776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37040515200).

16288776000 is an abundant number, since it is smaller than the sum of its proper divisors (57792254400).

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

16288776000 is an frugal number, since it uses more digits than its factorization.

16288776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 16288776000 in words is "sixteen billion, two hundred eighty-eight million, seven hundred seventy-six thousand".