1092535484400 has 2160 divisors, whose sum is σ = 4639240569600. Its totient is φ = 245686763520.

The previous prime is 1092535484399. The next prime is 1092535484461. The reversal of 1092535484400 is 44845352901.

1092535484400 is a `hidden beast` number, since 10 + 9 + 2 + 53 + 548 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12275679556 + ... + 12275679644.

It is an arithmetic number, because the mean of its divisors is an integer number (2147796560).

Almost surely, 2^{1092535484400} is an apocalyptic number.

1092535484400 is a gapful number since it is divisible by the number (10) 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 1092535484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319620284800).

1092535484400 is an abundant number, since it is smaller than the sum of its proper divisors (3546705085200).

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

1092535484400 is a wasteful number, since it uses less digits than its factorization.

1092535484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1092535484400 in words is "one trillion, ninety-two billion, five hundred thirty-five million, four hundred eighty-four thousand, four hundred".