1071881865600 has 768 divisors, whose sum is σ = 4410339386880. Its totient is φ = 222767677440.

The previous prime is 1071881865583. The next prime is 1071881865679. The reversal of 1071881865600 is 65681881701.

It is a super-2 number, since 2×1071881865600² (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 95 ways as a sum of consecutive naturals, for example, 58522044 + ... + 58540356.

It is an arithmetic number, because the mean of its divisors is an integer number (5742629410).

Almost surely, 2^{1071881865600} is an apocalyptic number.

1071881865600 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 1071881865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205169693440).

1071881865600 is an abundant number, since it is smaller than the sum of its proper divisors (3338457521280).

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

1071881865600 is a wasteful number, since it uses less digits than its factorization.

1071881865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18427 (or 18410 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 1071881865600 in words is "one trillion, seventy-one billion, eight hundred eighty-one million, eight hundred sixty-five thousand, six hundred".