1071091164000 has 768 divisors, whose sum is σ = 4175047618560. Its totient is φ = 236620800000.

The previous prime is 1071091163999. The next prime is 1071091164037. The reversal of 1071091164000 is 4611901701.

It is a super-2 number, since 2×1071091164000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135560050 + ... + 135567950.

It is an arithmetic number, because the mean of its divisors is an integer number (5436259920).

Almost surely, 2^{1071091164000} is an apocalyptic number.

1071091164000 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 1071091164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087523809280).

1071091164000 is an abundant number, since it is smaller than the sum of its proper divisors (3103956454560).

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

1071091164000 is a wasteful number, since it uses less digits than its factorization.

1071091164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 1071091164000 in words is "one trillion, seventy-one billion, ninety-one million, one hundred sixty-four thousand".