68526268800 has 768 divisors, whose sum is σ = 257752074240. Its totient is φ = 15983616000.

The previous prime is 68526268799. The next prime is 68526268829. The reversal of 68526268800 is 886262586.

It is a congruent number.

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, 396105514 + ... + 396105686.

It is an arithmetic number, because the mean of its divisors is an integer number (335614680).

Almost surely, 2^68526268800 is an apocalyptic number.

68526268800 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 68526268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128876037120).

68526268800 is an abundant number, since it is smaller than the sum of its proper divisors (189225805440).

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

68526268800 is a wasteful number, since it uses less digits than its factorization.

68526268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 68526268800 in words is "sixty-eight billion, five hundred twenty-six million, two hundred sixty-eight thousand, eight hundred".