1089059216400 has 135 divisors (see below), whose sum is σ = 3779555300599. Its totient is φ = 290399093760.

The previous prime is 1089059216393. The next prime is 1089059216411. The reversal of 1089059216400 is 46129509801.

The square root of 1089059216400 is 1043580.

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

1089059216400 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 592 + 16 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197530469136 + 891528747264 = 444444^2 + 944208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 62606104 + ... + 62623496.

Almost surely, 2^{1089059216400} is an apocalyptic number.

1089059216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1089059216400 is the 1043580-th square number.

It is an amenable number.

1089059216400 is an abundant number, since it is smaller than the sum of its proper divisors (2690496084199).

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

1089059216400 is an frugal number, since it uses more digits than its factorization.

1089059216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34810 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1089059216400 in words is "one trillion, eighty-nine billion, fifty-nine million, two hundred sixteen thousand, four hundred".