16779069248832 has 560 divisors, whose sum is σ = 54912280441920. Its totient is φ = 5065633520640.

The previous prime is 16779069248801. The next prime is 16779069248911. The reversal of 16779069248832 is 23884296097761.

16779069248832 is a `hidden beast` number, since 16 + 7 + 79 + 0 + 69 + 2 + 488 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1911269019 + ... + 1911277797.

Almost surely, 2^{16779069248832} is an apocalyptic number.

16779069248832 is a gapful number since it is divisible by the number (12) 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 16779069248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27456140220960).

16779069248832 is an abundant number, since it is smaller than the sum of its proper divisors (38133211193088).

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

16779069248832 is an equidigital number, since it uses as much as digits as its factorization.

16779069248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 16779069248832 in words is "sixteen trillion, seven hundred seventy-nine billion, sixty-nine million, two hundred forty-eight thousand, eight hundred thirty-two".