16863771120 has 320 divisors, whose sum is σ = 62533140480. Its totient is φ = 3675792384.

The previous prime is 16863771109. The next prime is 16863771139. The reversal of 16863771120 is 2117736861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23454121 + ... + 23454839.

It is an arithmetic number, because the mean of its divisors is an integer number (195416064).

Almost surely, 2^16863771120 is an apocalyptic number.

16863771120 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 16863771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31266570240).

16863771120 is an abundant number, since it is smaller than the sum of its proper divisors (45669369360).

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

16863771120 is a wasteful number, since it uses less digits than its factorization.

16863771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 16863771120 in words is "sixteen billion, eight hundred sixty-three million, seven hundred seventy-one thousand, one hundred twenty".