1010771785728 has 192 divisors, whose sum is σ = 2997854496000. Its totient is φ = 336506904576.

The previous prime is 1010771785697. The next prime is 1010771785729. The reversal of 1010771785728 is 8275871770101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010771785729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46382451 + ... + 46404237.

It is an arithmetic number, because the mean of its divisors is an integer number (15613825500).

Almost surely, 2^{1010771785728} is an apocalyptic number.

1010771785728 is a gapful number since it is divisible by the number (18) 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 1010771785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498927248000).

1010771785728 is an abundant number, since it is smaller than the sum of its proper divisors (1987082710272).

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

1010771785728 is an equidigital number, since it uses as much as digits as its factorization.

1010771785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657 (or 22631 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 54.

The spelling of 1010771785728 in words is "one trillion, ten billion, seven hundred seventy-one million, seven hundred eighty-five thousand, seven hundred twenty-eight".