68223858131520 has 672 divisors, whose sum is σ = 289302031130112. Its totient is φ = 14370177613824.

The previous prime is 68223858131447. The next prime is 68223858131521. The reversal of 68223858131520 is 2513185832286.

It is a happy number.

68223858131520 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 3 + 8 + 5 + 81 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (68223858131521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155193949 + ... + 155632931.

It is an arithmetic number, because the mean of its divisors is an integer number (430508974896).

Almost surely, 2^{68223858131520} is an apocalyptic number.

68223858131520 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 68223858131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144651015565056).

68223858131520 is an abundant number, since it is smaller than the sum of its proper divisors (221078172998592).

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

68223858131520 is a wasteful number, since it uses less digits than its factorization.

68223858131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439619 (or 439606 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 68223858131520 in words is "sixty-eight trillion, two hundred twenty-three billion, eight hundred fifty-eight million, one hundred thirty-one thousand, five hundred twenty".