10205152003650 has 48 divisors (see below), whose sum is σ = 26640817869600. Its totient is φ = 2578143663360.

The previous prime is 10205152003639. The next prime is 10205152003681. The reversal of 10205152003650 is 5630025150201.

It is a happy number.

It is a super-2 number, since 2×10205152003650² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790374695 + ... + 1790380394.

It is an arithmetic number, because the mean of its divisors is an integer number (555017038950).

Almost surely, 2^{10205152003650} is an apocalyptic number.

10205152003650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205152003650 is an abundant number, since it is smaller than the sum of its proper divisors (16435665865950).

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

10205152003650 is a wasteful number, since it uses less digits than its factorization.

10205152003650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580755123 (or 3580755118 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 10205152003650 its reverse (5630025150201), we get a palindrome (15835177153851).

The spelling of 10205152003650 in words is "ten trillion, two hundred five billion, one hundred fifty-two million, three thousand, six hundred fifty".