1092980563200 has 1296 divisors, whose sum is σ = 4361957483520. Its totient is φ = 269903093760.

The previous prime is 1092980563189. The next prime is 1092980563201. The reversal of 1092980563200 is 23650892901.

1092980563200 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 9 + 8 + 0 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×1092980563200³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1092980563201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1388793207 + ... + 1388793993.

Almost surely, 2^{1092980563200} is an apocalyptic number.

1092980563200 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 1092980563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180978741760).

1092980563200 is an abundant number, since it is smaller than the sum of its proper divisors (3268976920320).

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

1092980563200 is an equidigital number, since it uses as much as digits as its factorization.

1092980563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1092980563200 in words is "one trillion, ninety-two billion, nine hundred eighty million, five hundred sixty-three thousand, two hundred".