1010765084448 has 192 divisors, whose sum is σ = 3049171147008. Its totient is φ = 287186964480.

The previous prime is 1010765084443. The next prime is 1010765084449. The reversal of 1010765084448 is 8444805670101.

1010765084448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1010765084397 and 1010765084406.

It is not an unprimeable number, because it can be changed into a prime (1010765084443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100698886 + ... + 100708922.

It is an arithmetic number, because the mean of its divisors is an integer number (15881099724).

Almost surely, 2^{1010765084448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010765084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524585573504).

1010765084448 is an abundant number, since it is smaller than the sum of its proper divisors (2038406062560).

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

1010765084448 is a wasteful number, since it uses less digits than its factorization.

1010765084448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1010765084448 in words is "one trillion, ten billion, seven hundred sixty-five million, eighty-four thousand, four hundred forty-eight".