54068861320320 has 1024 divisors, whose sum is σ = 218801660313600. Its totient is φ = 11031153868800.

The previous prime is 54068861320307. The next prime is 54068861320333. The reversal of 54068861320320 is 2302316886045.

It is an interprime number because it is at equal distance from previous prime (54068861320307) and next prime (54068861320333).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54068861320320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2113951372 + ... + 2113976948.

It is an arithmetic number, because the mean of its divisors is an integer number (213673496400).

Almost surely, 2^{54068861320320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54068861320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109400830156800).

54068861320320 is an abundant number, since it is smaller than the sum of its proper divisors (164732798993280).

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

54068861320320 is a wasteful number, since it uses less digits than its factorization.

54068861320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25877 (or 25865 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 54068861320320 in words is "fifty-four trillion, sixty-eight billion, eight hundred sixty-one million, three hundred twenty thousand, three hundred twenty".