10195664128650 has 1344 divisors, whose sum is σ = 38374959845376. Its totient is φ = 1945415232000.

The previous prime is 10195664128649. The next prime is 10195664128667. The reversal of 10195664128650 is 5682146659101.

It is a happy number.

10195664128650 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 566 + 4 + 1 + 28 + 6 + 50 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 8282423535 + ... + 8282424765.

It is an arithmetic number, because the mean of its divisors is an integer number (28552797504).

Almost surely, 2^{10195664128650} is an apocalyptic number.

10195664128650 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 10195664128650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187479922688).

10195664128650 is an abundant number, since it is smaller than the sum of its proper divisors (28179295716726).

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

10195664128650 is a wasteful number, since it uses less digits than its factorization.

10195664128650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 10195664128650 in words is "ten trillion, one hundred ninety-five billion, six hundred sixty-four million, one hundred twenty-eight thousand, six hundred fifty".