1020763296000 has 3024 divisors, whose sum is σ = 4767731055360. Its totient is φ = 216334540800.

The previous prime is 1020763295989. The next prime is 1020763296061. The reversal of 1020763296000 is 6923670201.

1020763296000 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 6 + 3 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 21718367977 + ... + 21718368023.

It is an arithmetic number, because the mean of its divisors is an integer number (1576630640).

Almost surely, 2^{1020763296000} is an apocalyptic number.

1020763296000 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 1020763296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383865527680).

1020763296000 is an abundant number, since it is smaller than the sum of its proper divisors (3746967759360).

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

1020763296000 is an frugal number, since it uses more digits than its factorization.

1020763296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1020763296000 in words is "one trillion, twenty billion, seven hundred sixty-three million, two hundred ninety-six thousand".