1020827808000 has 1728 divisors, whose sum is σ = 4933290345984. Its totient is φ = 195747840000.

The previous prime is 1020827807981. The next prime is 1020827808017. The reversal of 1020827808000 is 8087280201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288286230 + ... + 288289770.

Almost surely, 2^{1020827808000} is an apocalyptic number.

1020827808000 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 1020827808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466645172992).

1020827808000 is an abundant number, since it is smaller than the sum of its proper divisors (3912462537984).

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

1020827808000 is a wasteful number, since it uses less digits than its factorization.

1020827808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1020827808000 in words is "one trillion, twenty billion, eight hundred twenty-seven million, eight hundred eight thousand".