16870457280 has 224 divisors, whose sum is σ = 57304570176. Its totient is φ = 4190109696.

The previous prime is 16870457239. The next prime is 16870457281. The reversal of 16870457280 is 8275407861.

It is a super-2 number, since 2×16870457280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16870457281) 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, 1577712 + ... + 1588368.

It is an arithmetic number, because the mean of its divisors is an integer number (255823974).

Almost surely, 2^16870457280 is an apocalyptic number.

16870457280 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 16870457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28652285088).

16870457280 is an abundant number, since it is smaller than the sum of its proper divisors (40434112896).

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

16870457280 is a wasteful number, since it uses less digits than its factorization.

16870457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 16870457280 in words is "sixteen billion, eight hundred seventy million, four hundred fifty-seven thousand, two hundred eighty".