68483251077120 has 2560 divisors, whose sum is σ = 284648305075200. Its totient is φ = 15594002841600.

The previous prime is 68483251077091. The next prime is 68483251077139. The reversal of 68483251077120 is 2177015238486.

68483251077120 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 32 + 510 + 7 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167440711476 + ... + 167440711884.

It is an arithmetic number, because the mean of its divisors is an integer number (111190744170).

Almost surely, 2^{68483251077120} is an apocalyptic number.

68483251077120 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 68483251077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142324152537600).

68483251077120 is an abundant number, since it is smaller than the sum of its proper divisors (216165053998080).

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

68483251077120 is a wasteful number, since it uses less digits than its factorization.

68483251077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 68483251077120 in words is "sixty-eight trillion, four hundred eighty-three billion, two hundred fifty-one million, seventy-seven thousand, one hundred twenty".