1010820096000 has 2016 divisors, whose sum is σ = 4377689634240. Its totient is φ = 222363648000.

The previous prime is 1010820095927. The next prime is 1010820096019. The reversal of 1010820096000 is 6900280101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17132543971 + ... + 17132544029.

Almost surely, 2^{1010820096000} is an apocalyptic number.

1010820096000 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 1010820096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188844817120).

1010820096000 is an abundant number, since it is smaller than the sum of its proper divisors (3366869538240).

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

1010820096000 is a wasteful number, since it uses less digits than its factorization.

1010820096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1010820096000 in words is "one trillion, ten billion, eight hundred twenty million, ninety-six thousand".