16045758720 has 576 divisors, whose sum is σ = 62305044480. Its totient is φ = 3892838400.

The previous prime is 16045758719. The next prime is 16045758733. The reversal of 16045758720 is 2785754061.

16045758720 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 575 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 18212680 + ... + 18213560.

It is an arithmetic number, because the mean of its divisors is an integer number (108168480).

Almost surely, 2^16045758720 is an apocalyptic number.

16045758720 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 16045758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31152522240).

16045758720 is an abundant number, since it is smaller than the sum of its proper divisors (46259285760).

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

16045758720 is a wasteful number, since it uses less digits than its factorization.

16045758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 16045758720 in words is "sixteen billion, forty-five million, seven hundred fifty-eight thousand, seven hundred twenty".