10116585570 has 192 divisors, whose sum is σ = 31399474176. Its totient is φ = 2065512960.

The previous prime is 10116585553. The next prime is 10116585613. The reversal of 10116585570 is 7558561101.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 583872 + ... + 600948.

It is an arithmetic number, because the mean of its divisors is an integer number (163538928).

Almost surely, 2^10116585570 is an apocalyptic number.

10116585570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116585570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699737088).

10116585570 is an abundant number, since it is smaller than the sum of its proper divisors (21282888606).

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

10116585570 is a wasteful number, since it uses less digits than its factorization.

10116585570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145 (or 17138 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

It can be divided in two parts, 10116 and 585570, that added together give a triangular number (595686 = T₁₀₉₁).

The spelling of 10116585570 in words is "ten billion, one hundred sixteen million, five hundred eighty-five thousand, five hundred seventy".