1010399205060 has 1152 divisors, whose sum is σ = 3919878144000. Its totient is φ = 217663117056.

The previous prime is 1010399205059. The next prime is 1010399205097. The reversal of 1010399205060 is 605029930101.

1010399205060 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 399 + 205 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5077382841 + ... + 5077383039.

It is an arithmetic number, because the mean of its divisors is an integer number (3402672000).

Almost surely, 2^{1010399205060} is an apocalyptic number.

1010399205060 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 1010399205060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959939072000).

1010399205060 is an abundant number, since it is smaller than the sum of its proper divisors (2909478938940).

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

1010399205060 is a wasteful number, since it uses less digits than its factorization.

1010399205060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 1010399205060 in words is "one trillion, ten billion, three hundred ninety-nine million, two hundred five thousand, sixty".