653297799168 has 520 divisors, whose sum is σ = 2361730295232. Its totient is φ = 175666102272.

The previous prime is 653297799113. The next prime is 653297799179. The reversal of 653297799168 is 861997792356.

653297799168 is a `hidden beast` number, since 6 + 532 + 9 + 7 + 79 + 9 + 16 + 8 = 666.

It is a super-2 number, since 2×653297799168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 653297799096 and 653297799105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39473071 + ... + 39489617.

Almost surely, 2^653297799168 is an apocalyptic number.

653297799168 is a gapful number since it is divisible by the number (68) 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 653297799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180865147616).

653297799168 is an abundant number, since it is smaller than the sum of its proper divisors (1708432496064).

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

653297799168 is a wasteful number, since it uses less digits than its factorization.

653297799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16576 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 653297799168 in words is "six hundred fifty-three billion, two hundred ninety-seven million, seven hundred ninety-nine thousand, one hundred sixty-eight".