1092782827920 has 320 divisors, whose sum is σ = 4215873024000. Its totient is φ = 228472731648.

The previous prime is 1092782827909. The next prime is 1092782827933. The reversal of 1092782827920 is 297282872901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335421 + ... + 1515939.

It is an arithmetic number, because the mean of its divisors is an integer number (13174603200).

Almost surely, 2^{1092782827920} is an apocalyptic number.

1092782827920 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 1092782827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107936512000).

1092782827920 is an abundant number, since it is smaller than the sum of its proper divisors (3123090196080).

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

1092782827920 is a wasteful number, since it uses less digits than its factorization.

1092782827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180590 (or 1180584 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 1092782827920 in words is "one trillion, ninety-two billion, seven hundred eighty-two million, eight hundred twenty-seven thousand, nine hundred twenty".