68263130880000 has 4320 divisors, whose sum is σ = 305769138554880. Its totient is φ = 14600355840000.

The previous prime is 68263130879893. The next prime is 68263130880103. The reversal of 68263130880000 is 8803136286.

68263130880000 is a `hidden beast` number, since 6 + 8 + 2 + 631 + 3 + 0 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

68263130880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 822447359959 + ... + 822447360041.

It is an arithmetic number, because the mean of its divisors is an integer number (70779893184).

Almost surely, 2^{68263130880000} is an apocalyptic number.

68263130880000 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 68263130880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152884569277440).

68263130880000 is an abundant number, since it is smaller than the sum of its proper divisors (237506007674880).

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

68263130880000 is a wasteful number, since it uses less digits than its factorization.

68263130880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 68263130880000 in words is "sixty-eight trillion, two hundred sixty-three billion, one hundred thirty million, eight hundred eighty thousand".