1089986112576 has 189 divisors, whose sum is σ = 3205329176959. Its totient is φ = 354132940800.

The previous prime is 1089986112563. The next prime is 1089986112587. The reversal of 1089986112576 is 6752116899801.

The square root of 1089986112576 is 1044024.

It is a perfect power (a square), and thus also a powerful number.

1089986112576 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 9 + 8 + 611 + 2 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167464282176 + 922521830400 = 409224^2 + 960480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1027319086 + ... + 1027320146.

Almost surely, 2^{1089986112576} is an apocalyptic number.

1089986112576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1089986112576 is the 1044024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089986112576

1089986112576 is an abundant number, since it is smaller than the sum of its proper divisors (2115343064383).

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

1089986112576 is an frugal number, since it uses more digits than its factorization.

1089986112576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1089986112576 in words is "one trillion, eighty-nine billion, nine hundred eighty-six million, one hundred twelve thousand, five hundred seventy-six".