16873209239040 has 3840 divisors, whose sum is σ = 81133085721600. Its totient is φ = 3304727838720.

The previous prime is 16873209239027. The next prime is 16873209239053. The reversal of 16873209239040 is 4093290237861.

16873209239040 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 3 + 209 + 2 + 390 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (16873209239027) and next prime (16873209239053).

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 85650808222 + ... + 85650808418.

It is an arithmetic number, because the mean of its divisors is an integer number (21128407740).

Almost surely, 2^{16873209239040} is an apocalyptic number.

16873209239040 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 16873209239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40566542860800).

16873209239040 is an abundant number, since it is smaller than the sum of its proper divisors (64259876482560).

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

16873209239040 is a wasteful number, since it uses less digits than its factorization.

16873209239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 16873209239040 in words is "sixteen trillion, eight hundred seventy-three billion, two hundred nine million, two hundred thirty-nine thousand, forty".