16861004160 has 1024 divisors, whose sum is σ = 74751344640. Its totient is φ = 3118694400.

The previous prime is 16861004159. The next prime is 16861004161. The reversal of 16861004160 is 6140016861.

16861004160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16861004159) and next prime (16861004161).

It is a super-2 number, since 2×16861004160² (a number of 21 digits) contains 22 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 (16861004161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59579379 + ... + 59579661.

It is an arithmetic number, because the mean of its divisors is an integer number (72999360).

Almost surely, 2^16861004160 is an apocalyptic number.

16861004160 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 16861004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37375672320).

16861004160 is an abundant number, since it is smaller than the sum of its proper divisors (57890340480).

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

16861004160 is a wasteful number, since it uses less digits than its factorization.

16861004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 16861004160 in words is "sixteen billion, eight hundred sixty-one million, four thousand, one hundred sixty".