68113152000 has 1152 divisors, whose sum is σ = 272658597120. Its totient is φ = 16279142400.

The previous prime is 68113151957. The next prime is 68113152001. The reversal of 68113152000 is 25131186.

68113152000 is a `hidden beast` number, since 6 + 8 + 1 + 131 + 520 + 0 + 0 = 666.

68113152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68113152001) 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, 1449215977 + ... + 1449216023.

It is an arithmetic number, because the mean of its divisors is an integer number (236682810).

Almost surely, 2^68113152000 is an apocalyptic number.

68113152000 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 68113152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136329298560).

68113152000 is an abundant number, since it is smaller than the sum of its proper divisors (204545445120).

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

68113152000 is a wasteful number, since it uses less digits than its factorization.

68113152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 68113152000 its reverse (25131186), we get a palindrome (68138283186).

The spelling of 68113152000 in words is "sixty-eight billion, one hundred thirteen million, one hundred fifty-two thousand".