16580725920 has 336 divisors, whose sum is σ = 64075227552. Its totient is φ = 4019258880.

The previous prime is 16580725897. The next prime is 16580725939. The reversal of 16580725920 is 2952708561.

16580725920 is a `hidden beast` number, since 1 + 6 + 58 + 0 + 7 + 2 + 592 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 1276579 + ... + 1289501.

It is an arithmetic number, because the mean of its divisors is an integer number (190700082).

Almost surely, 2^16580725920 is an apocalyptic number.

16580725920 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 16580725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32037613776).

16580725920 is an abundant number, since it is smaller than the sum of its proper divisors (47494501632).

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

16580725920 is a wasteful number, since it uses less digits than its factorization.

16580725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 16580725920 in words is "sixteen billion, five hundred eighty million, seven hundred twenty-five thousand, nine hundred twenty".