10205091887616 has 280 divisors, whose sum is σ = 30740499073284. Its totient is φ = 3382880993280.

The previous prime is 10205091887609. The next prime is 10205091887623. The reversal of 10205091887616 is 61678819050201.

It is a happy number.

10205091887616 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 0 + 9 + 18 + 8 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (10205091887609) and next prime (10205091887623).

It can be written as a sum of positive squares in 2 ways, for example, as 9152415887616 + 1052676000000 = 3025296^2 + 1026000^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67482360 + ... + 67633416.

Almost surely, 2^{10205091887616} is an apocalyptic number.

10205091887616 is a gapful number since it is divisible by the number (16) 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 10205091887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370249536642).

10205091887616 is an abundant number, since it is smaller than the sum of its proper divisors (20535407185668).

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

10205091887616 is an frugal number, since it uses more digits than its factorization.

10205091887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151274 (or 151243 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10205091887616 in words is "ten trillion, two hundred five billion, ninety-one million, eight hundred eighty-seven thousand, six hundred sixteen".