1089292175712 has 480 divisors, whose sum is σ = 3658252574592. Its totient is φ = 314993442816.

The previous prime is 1089292175633. The next prime is 1089292175731. The reversal of 1089292175712 is 2175712929801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 760147348 + ... + 760148780.

Almost surely, 2^{1089292175712} is an apocalyptic number.

1089292175712 is a gapful number since it is divisible by the number (12) 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 1089292175712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829126287296).

1089292175712 is an abundant number, since it is smaller than the sum of its proper divisors (2568960398880).

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

1089292175712 is a wasteful number, since it uses less digits than its factorization.

1089292175712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1089292175712 in words is "one trillion, eighty-nine billion, two hundred ninety-two million, one hundred seventy-five thousand, seven hundred twelve".