1020075772768 has 48 divisors (see below), whose sum is σ = 2163830850720. Its totient is φ = 470570397696.

The previous prime is 1020075772699. The next prime is 1020075772789. The reversal of 1020075772768 is 8672775700201.

It is a super-3 number, since 3×1020075772768³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231213 + ... + 1446931.

It is an arithmetic number, because the mean of its divisors is an integer number (45079809390).

Almost surely, 2^{1020075772768} is an apocalyptic number.

It is an amenable number.

1020075772768 is an abundant number, since it is smaller than the sum of its proper divisors (1143755077952).

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

1020075772768 is a wasteful number, since it uses less digits than its factorization.

1020075772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217759 (or 1217751 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 52.

The spelling of 1020075772768 in words is "one trillion, twenty billion, seventy-five million, seven hundred seventy-two thousand, seven hundred sixty-eight".