16506015540 has 288 divisors, whose sum is σ = 57805332480. Its totient is φ = 3497630976.

The previous prime is 16506015509. The next prime is 16506015563. The reversal of 16506015540 is 4551060561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2622277 + ... + 2628563.

It is an arithmetic number, because the mean of its divisors is an integer number (200712960).

Almost surely, 2^16506015540 is an apocalyptic number.

16506015540 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 16506015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28902666240).

16506015540 is an abundant number, since it is smaller than the sum of its proper divisors (41299316940).

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

16506015540 is a wasteful number, since it uses less digits than its factorization.

16506015540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

It can be divided in two parts, 16506015 and 540, that multiplied together give a square (8913248100 = 94410²).

The spelling of 16506015540 in words is "sixteen billion, five hundred six million, fifteen thousand, five hundred forty".