68951126160 has 720 divisors, whose sum is σ = 293403988800. Its totient is φ = 14411851776.

The previous prime is 68951126143. The next prime is 68951126177. The reversal of 68951126160 is 6162115986.

It is an interprime number because it is at equal distance from previous prime (68951126143) and next prime (68951126177).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19437507 + ... + 19441053.

It is an arithmetic number, because the mean of its divisors is an integer number (407505540).

Almost surely, 2^68951126160 is an apocalyptic number.

68951126160 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 68951126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146701994400).

68951126160 is an abundant number, since it is smaller than the sum of its proper divisors (224452862640).

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

68951126160 is a wasteful number, since it uses less digits than its factorization.

68951126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 68951126160 in words is "sixty-eight billion, nine hundred fifty-one million, one hundred twenty-six thousand, one hundred sixty".