1068174105600 has 528 divisors, whose sum is σ = 4052946809088. Its totient is φ = 243050741760.

The previous prime is 1068174105587. The next prime is 1068174105613. The reversal of 1068174105600 is 65014718601.

It is an interprime number because it is at equal distance from previous prime (1068174105587) and next prime (1068174105613).

It is a super-2 number, since 2×1068174105600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122030824 + ... + 122039576.

Almost surely, 2^{1068174105600} is an apocalyptic number.

1068174105600 is a gapful number since it is divisible by the number (10) 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 1068174105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026473404544).

1068174105600 is an abundant number, since it is smaller than the sum of its proper divisors (2984772703488).

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

1068174105600 is a wasteful number, since it uses less digits than its factorization.

1068174105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9020 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1068174105600 in words is "one trillion, sixty-eight billion, one hundred seventy-four million, one hundred five thousand, six hundred".