16863295680 has 1008 divisors, whose sum is σ = 75550605312. Its totient is φ = 3375820800.

The previous prime is 16863295667. The next prime is 16863295693. The reversal of 16863295680 is 8659236861.

It is a happy number.

16863295680 is a `hidden beast` number, since 16 + 8 + 63 + 2 + 9 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16863295667) and next prime (16863295693).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×16863295680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75620049 + ... + 75620271.

Almost surely, 2^16863295680 is an apocalyptic number.

16863295680 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 16863295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37775302656).

16863295680 is an abundant number, since it is smaller than the sum of its proper divisors (58687309632).

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

16863295680 is a wasteful number, since it uses less digits than its factorization.

16863295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16863295680 in words is "sixteen billion, eight hundred sixty-three million, two hundred ninety-five thousand, six hundred eighty".