68553112320 has 1440 divisors, whose sum is σ = 316827979776. Its totient is φ = 13735526400.

The previous prime is 68553112307. The next prime is 68553112367. The reversal of 68553112320 is 2321135586.

68553112320 is a `hidden beast` number, since 6 + 85 + 531 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 247484022 + ... + 247484298.

Almost surely, 2^68553112320 is an apocalyptic number.

68553112320 is a gapful number since it is divisible by the number (60) 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 68553112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158413989888).

68553112320 is an abundant number, since it is smaller than the sum of its proper divisors (248274867456).

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

68553112320 is a wasteful number, since it uses less digits than its factorization.

68553112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 68553112320 in words is "sixty-eight billion, five hundred fifty-three million, one hundred twelve thousand, three hundred twenty".