16798961088 has 448 divisors, whose sum is σ = 62103121920. Its totient is φ = 4334321664.

The previous prime is 16798961063. The next prime is 16798961189. The reversal of 16798961088 is 88016989761.

16798961088 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 8 + 9 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×16798961088² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7389520 + ... + 7391792.

It is an arithmetic number, because the mean of its divisors is an integer number (138623040).

Almost surely, 2^16798961088 is an apocalyptic number.

16798961088 is a gapful number since it is divisible by the number (18) 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 16798961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31051560960).

16798961088 is an abundant number, since it is smaller than the sum of its proper divisors (45304160832).

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

16798961088 is a wasteful number, since it uses less digits than its factorization.

16798961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 16798961088 in words is "sixteen billion, seven hundred ninety-eight million, nine hundred sixty-one thousand, eighty-eight".