16533620010240 has 288 divisors, whose sum is σ = 54103401273600. Its totient is φ = 4300535562240.

The previous prime is 16533620010233. The next prime is 16533620010247. The reversal of 16533620010240 is 4201002633561.

It is an interprime number because it is at equal distance from previous prime (16533620010233) and next prime (16533620010247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16533620010247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127105626 + ... + 1127120294.

It is an arithmetic number, because the mean of its divisors is an integer number (187859032200).

Almost surely, 2^{16533620010240} is an apocalyptic number.

16533620010240 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 16533620010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051700636800).

16533620010240 is an abundant number, since it is smaller than the sum of its proper divisors (37569781263360).

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

16533620010240 is a wasteful number, since it uses less digits than its factorization.

16533620010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 16533620010240 in words is "sixteen trillion, five hundred thirty-three billion, six hundred twenty million, ten thousand, two hundred forty".