16580531640 has 384 divisors, whose sum is σ = 55901664000. Its totient is φ = 3921831936.

The previous prime is 16580531623. The next prime is 16580531689. The reversal of 16580531640 is 4613508561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71160964 + ... + 71161196.

It is an arithmetic number, because the mean of its divisors is an integer number (145577250).

Almost surely, 2^16580531640 is an apocalyptic number.

16580531640 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 16580531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27950832000).

16580531640 is an abundant number, since it is smaller than the sum of its proper divisors (39321132360).

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

16580531640 is a wasteful number, since it uses less digits than its factorization.

16580531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 16580531640 in words is "sixteen billion, five hundred eighty million, five hundred thirty-one thousand, six hundred forty".