68154307130880 has 640 divisors, whose sum is σ = 253629498101760. Its totient is φ = 17325661224960.

The previous prime is 68154307130869. The next prime is 68154307130957. The reversal of 68154307130880 is 8803170345186.

It is a happy number.

68154307130880 is a `hidden beast` number, since 6 + 8 + 1 + 543 + 0 + 7 + 13 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 143324872 + ... + 143799608.

It is an arithmetic number, because the mean of its divisors is an integer number (396296090784).

Almost surely, 2^{68154307130880} is an apocalyptic number.

68154307130880 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 68154307130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126814749050880).

68154307130880 is an abundant number, since it is smaller than the sum of its proper divisors (185475190970880).

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

68154307130880 is a wasteful number, since it uses less digits than its factorization.

68154307130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474867 (or 474845 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 68154307130880 in words is "sixty-eight trillion, one hundred fifty-four billion, three hundred seven million, one hundred thirty thousand, eight hundred eighty".