16515006641280 has 640 divisors, whose sum is σ = 67424808084480. Its totient is φ = 3773666009088.

The previous prime is 16515006641257. The next prime is 16515006641333. The reversal of 16515006641280 is 8214660051561.

16515006641280 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 500 + 6 + 64 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1706619802 + ... + 1706629478.

It is an arithmetic number, because the mean of its divisors is an integer number (105351262632).

Almost surely, 2^{16515006641280} is an apocalyptic number.

16515006641280 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 16515006641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33712404042240).

16515006641280 is an abundant number, since it is smaller than the sum of its proper divisors (50909801443200).

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

16515006641280 is an equidigital number, since it uses as much as digits as its factorization.

16515006641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 16515006641280 in words is "sixteen trillion, five hundred fifteen billion, six million, six hundred forty-one thousand, two hundred eighty".