68892098121600 has 768 divisors, whose sum is σ = 252922136947200. Its totient is φ = 16365042892800.

The previous prime is 68892098121569. The next prime is 68892098121619. The reversal of 68892098121600 is 612189029886.

It is a super-2 number, since 2×68892098121600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10144614205 + ... + 10144620995.

It is an arithmetic number, because the mean of its divisors is an integer number (329325699150).

Almost surely, 2^{68892098121600} is an apocalyptic number.

68892098121600 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 68892098121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126461068473600).

68892098121600 is an abundant number, since it is smaller than the sum of its proper divisors (184030038825600).

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

68892098121600 is a wasteful number, since it uses less digits than its factorization.

68892098121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 68892098121600 in words is "sixty-eight trillion, eight hundred ninety-two billion, ninety-eight million, one hundred twenty-one thousand, six hundred".