68172511545600 has 864 divisors, whose sum is σ = 281005880472576. Its totient is φ = 14140113715200.

The previous prime is 68172511545581. The next prime is 68172511545689. The reversal of 68172511545600 is 654511527186.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823427407 + ... + 823510193.

It is an arithmetic number, because the mean of its divisors is an integer number (325238287584).

Almost surely, 2^{68172511545600} is an apocalyptic number.

68172511545600 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 68172511545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502940236288).

68172511545600 is an abundant number, since it is smaller than the sum of its proper divisors (212833368926976).

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

68172511545600 is a wasteful number, since it uses less digits than its factorization.

68172511545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83391 (or 83372 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 68172511545600 in words is "sixty-eight trillion, one hundred seventy-two billion, five hundred eleven million, five hundred forty-five thousand, six hundred".