1020775731600 has 240 divisors, whose sum is σ = 3317380487552. Its totient is φ = 268259143680.

The previous prime is 1020775731593. The next prime is 1020775731631. The reversal of 1020775731600 is 61375770201.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126753174 + ... + 126761226.

Almost surely, 2^{1020775731600} is an apocalyptic number.

1020775731600 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 1020775731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658690243776).

1020775731600 is an abundant number, since it is smaller than the sum of its proper divisors (2296604755952).

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

1020775731600 is a wasteful number, since it uses less digits than its factorization.

1020775731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 1020775731600 in words is "one trillion, twenty billion, seven hundred seventy-five million, seven hundred thirty-one thousand, six hundred".