1089979470216 has 768 divisors, whose sum is σ = 3849500160000. Its totient is φ = 285508903680.

The previous prime is 1089979470169. The next prime is 1089979470221. The reversal of 1089979470216 is 6120749799801.

1089979470216 is a `hidden beast` number, since 1 + 0 + 8 + 99 + 79 + 470 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3292989171 + ... + 3292989501.

It is an arithmetic number, because the mean of its divisors is an integer number (5012370000).

Almost surely, 2^{1089979470216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089979470216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924750080000).

1089979470216 is an abundant number, since it is smaller than the sum of its proper divisors (2759520689784).

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

1089979470216 is a wasteful number, since it uses less digits than its factorization.

1089979470216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 1089979470216 in words is "one trillion, eighty-nine billion, nine hundred seventy-nine million, four hundred seventy thousand, two hundred sixteen".