16040056560 has 160 divisors (see below), whose sum is σ = 54304024320. Its totient is φ = 3884236800.

The previous prime is 16040056511. The next prime is 16040056561. The reversal of 16040056560 is 6565004061.

It is a super-3 number, since 3×16040056560³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040056561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2877456 + ... + 2883024.

It is an arithmetic number, because the mean of its divisors is an integer number (339400152).

Almost surely, 2^16040056560 is an apocalyptic number.

16040056560 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 16040056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152012160).

16040056560 is an abundant number, since it is smaller than the sum of its proper divisors (38263967760).

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

16040056560 is a wasteful number, since it uses less digits than its factorization.

16040056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 16040056560 in words is "sixteen billion, forty million, fifty-six thousand, five hundred sixty".