16533460053000 has 384 divisors, whose sum is σ = 62381145340800. Its totient is φ = 3914898624000.

The previous prime is 16533460052927. The next prime is 16533460053001. The reversal of 16533460053000 is 35006433561.

16533460053000 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 346 + 0 + 0 + 5 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16533460053001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2315086 + ... + 6198914.

It is an arithmetic number, because the mean of its divisors is an integer number (162450899325).

Almost surely, 2^{16533460053000} is an apocalyptic number.

16533460053000 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 16533460053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190572670400).

16533460053000 is an abundant number, since it is smaller than the sum of its proper divisors (45847685287800).

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

16533460053000 is a wasteful number, since it uses less digits than its factorization.

16533460053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883910 (or 3883893 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 16533460053000 its reverse (35006433561), we get a palindrome (16568466486561).

The spelling of 16533460053000 in words is "sixteen trillion, five hundred thirty-three billion, four hundred sixty million, fifty-three thousand".