16345082880 has 1056 divisors, whose sum is σ = 71687577600. Its totient is φ = 3511517184.

The previous prime is 16345082851. The next prime is 16345082881. The reversal of 16345082880 is 8828054361.

16345082880 is a `hidden beast` number, since 1 + 63 + 4 + 508 + 2 + 8 + 80 = 666.

It is a super-4 number, since 4×16345082880⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16345082881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128701377 + ... + 128701503.

Almost surely, 2^16345082880 is an apocalyptic number.

16345082880 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 16345082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35843788800).

16345082880 is an abundant number, since it is smaller than the sum of its proper divisors (55342494720).

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

16345082880 is a wasteful number, since it uses less digits than its factorization.

16345082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16345082880 in words is "sixteen billion, three hundred forty-five million, eighty-two thousand, eight hundred eighty".