1071084898800 has 1080 divisors, whose sum is σ = 4417633539072. Its totient is φ = 235363968000.

The previous prime is 1071084898781. The next prime is 1071084898801. The reversal of 1071084898800 is 88984801701.

It is a happy number.

1071084898800 is a `hidden beast` number, since 10 + 71 + 0 + 8 + 489 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×1071084898800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071084898801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3952342665 + ... + 3952342935.

Almost surely, 2^{1071084898800} is an apocalyptic number.

1071084898800 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 1071084898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208816769536).

1071084898800 is an abundant number, since it is smaller than the sum of its proper divisors (3346548640272).

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

1071084898800 is a wasteful number, since it uses less digits than its factorization.

1071084898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 1071084898800 in words is "one trillion, seventy-one billion, eighty-four million, eight hundred ninety-eight thousand, eight hundred".