16862268960 has 720 divisors, whose sum is σ = 66067626240. Its totient is φ = 4034810880.

The previous prime is 16862268953. The next prime is 16862269001. The reversal of 16862268960 is 6986226861.

It is a happy number.

16862268960 is a `hidden beast` number, since 1 + 6 + 8 + 622 + 6 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×16862268960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16862268897 and 16862268906.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 358771657 + ... + 358771703.

It is an arithmetic number, because the mean of its divisors is an integer number (91760592).

Almost surely, 2^16862268960 is an apocalyptic number.

16862268960 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 16862268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033813120).

16862268960 is an abundant number, since it is smaller than the sum of its proper divisors (49205357280).

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

16862268960 is a wasteful number, since it uses less digits than its factorization.

16862268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16862268960 in words is "sixteen billion, eight hundred sixty-two million, two hundred sixty-eight thousand, nine hundred sixty".