16753484348040 has 256 divisors, whose sum is σ = 55338611616000. Its totient is φ = 4023861985280.

The previous prime is 16753484348017. The next prime is 16753484348077. The reversal of 16753484348040 is 4084348435761.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91956556 + ... + 92138564.

It is an arithmetic number, because the mean of its divisors is an integer number (216166451625).

Almost surely, 2^{16753484348040} is an apocalyptic number.

16753484348040 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 16753484348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669305808000).

16753484348040 is an abundant number, since it is smaller than the sum of its proper divisors (38585127267960).

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

16753484348040 is a wasteful number, since it uses less digits than its factorization.

16753484348040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182680 (or 182676 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 16753484348040 in words is "sixteen trillion, seven hundred fifty-three billion, four hundred eighty-four million, three hundred forty-eight thousand, forty".