1089480167424 has 832 divisors, whose sum is σ = 3764976768000. Its totient is φ = 307675791360.

The previous prime is 1089480167401. The next prime is 1089480167429. The reversal of 1089480167424 is 4247610849801.

1089480167424 is a `hidden beast` number, since 1 + 0 + 89 + 4 + 80 + 1 + 67 + 424 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1089480167429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2874617667 + ... + 2874618045.

Almost surely, 2^{1089480167424} 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 1089480167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882488384000).

1089480167424 is an abundant number, since it is smaller than the sum of its proper divisors (2675496600576).

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

1089480167424 is a wasteful number, since it uses less digits than its factorization.

1089480167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1089480167424 in words is "one trillion, eighty-nine billion, four hundred eighty million, one hundred sixty-seven thousand, four hundred twenty-four".