68818110001920 has 2880 divisors, whose sum is σ = 276939565056000. Its totient is φ = 16239293890560.

The previous prime is 68818110001919. The next prime is 68818110001943. The reversal of 68818110001920 is 2910001181886.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 461866510006 + ... + 461866510154.

It is an arithmetic number, because the mean of its divisors is an integer number (96159571200).

Almost surely, 2^{68818110001920} is an apocalyptic number.

68818110001920 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 68818110001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138469782528000).

68818110001920 is an abundant number, since it is smaller than the sum of its proper divisors (208121455054080).

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

68818110001920 is a wasteful number, since it uses less digits than its factorization.

68818110001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 68818110001920 in words is "sixty-eight trillion, eight hundred eighteen billion, one hundred ten million, one thousand, nine hundred twenty".