16823959511040 has 3136 divisors, whose sum is σ = 73519707013632. Its totient is φ = 3643696742400.

The previous prime is 16823959511011. The next prime is 16823959511053. The reversal of 16823959511040 is 4011595932861.

16823959511040 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 3 + 9 + 595 + 1 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×16823959511040² (a number of 27 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 128427171775 + ... + 128427171905.

Almost surely, 2^{16823959511040} is an apocalyptic number.

16823959511040 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 16823959511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36759853506816).

16823959511040 is an abundant number, since it is smaller than the sum of its proper divisors (56695747502592).

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

16823959511040 is a wasteful number, since it uses less digits than its factorization.

16823959511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 16823959511040 in words is "sixteen trillion, eight hundred twenty-three billion, nine hundred fifty-nine million, five hundred eleven thousand, forty".