10064457500850 has 144 divisors (see below), whose sum is σ = 27993700163520. Its totient is φ = 2589321571200.

The previous prime is 10064457500843. The next prime is 10064457500917. The reversal of 10064457500850 is 5800575446001.

10064457500850 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 44 + 57 + 500 + 8 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10064457500796 and 10064457500805.

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 71 ways as a sum of consecutive naturals, for example, 16761315 + ... + 17351385.

It is an arithmetic number, because the mean of its divisors is an integer number (194400695580).

Almost surely, 2^{10064457500850} is an apocalyptic number.

10064457500850 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 10064457500850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996850081760).

10064457500850 is an abundant number, since it is smaller than the sum of its proper divisors (17929242662670).

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

10064457500850 is a wasteful number, since it uses less digits than its factorization.

10064457500850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591425 (or 591417 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 10064457500850 in words is "ten trillion, sixty-four billion, four hundred fifty-seven million, five hundred thousand, eight hundred fifty".