1010391625728 has 520 divisors, whose sum is σ = 3117004450560. Its totient is φ = 325976555520.

The previous prime is 1010391625717. The next prime is 1010391625729. The reversal of 1010391625728 is 8275261930101.

1010391625728 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 391 + 6 + 257 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1010391625729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1389809301 + ... + 1389810027.

It is an arithmetic number, because the mean of its divisors is an integer number (5994239328).

Almost surely, 2^{1010391625728} is an apocalyptic number.

1010391625728 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 1010391625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558502225280).

1010391625728 is an abundant number, since it is smaller than the sum of its proper divisors (2106612824832).

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

1010391625728 is an frugal number, since it uses more digits than its factorization.

1010391625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1010391625728 in words is "one trillion, ten billion, three hundred ninety-one million, six hundred twenty-five thousand, seven hundred twenty-eight".