1068187153200 has 240 divisors, whose sum is σ = 3514431062016. Its totient is φ = 277171865600.

The previous prime is 1068187153133. The next prime is 1068187153219. The reversal of 1068187153200 is 23517818601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1068187153200² (a number of 25 digits) contains 22 as substring.

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, 18815257 + ... + 18871943.

Almost surely, 2^{1068187153200} is an apocalyptic number.

1068187153200 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 1068187153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757215531008).

1068187153200 is an abundant number, since it is smaller than the sum of its proper divisors (2446243908816).

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

1068187153200 is a wasteful number, since it uses less digits than its factorization.

1068187153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57132 (or 57121 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1068187153200 in words is "one trillion, sixty-eight billion, one hundred eighty-seven million, one hundred fifty-three thousand, two hundred".