68257141370880 has 1664 divisors, whose sum is σ = 278868715315200. Its totient is φ = 14131038781440.

The previous prime is 68257141370867. The next prime is 68257141370893. The reversal of 68257141370880 is 8807314175286.

It is an interprime number because it is at equal distance from previous prime (68257141370867) and next prime (68257141370893).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121238261479 + ... + 121238262041.

Almost surely, 2^{68257141370880} is an apocalyptic number.

68257141370880 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 68257141370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139434357657600).

68257141370880 is an abundant number, since it is smaller than the sum of its proper divisors (210611573944320).

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

68257141370880 is a wasteful number, since it uses less digits than its factorization.

68257141370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 68257141370880 in words is "sixty-eight trillion, two hundred fifty-seven billion, one hundred forty-one million, three hundred seventy thousand, eight hundred eighty".