10642443782850 has 432 divisors, whose sum is σ = 34307828012640. Its totient is φ = 2444191200000.

The previous prime is 10642443782837. The next prime is 10642443782879. The reversal of 10642443782850 is 5828734424601.

10642443782850 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 244 + 378 + 28 + 5 + 0 = 666.

It is a super-2 number, since 2×10642443782850² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 215 ways as a sum of consecutive naturals, for example, 27742350 + ... + 28123350.

Almost surely, 2^{10642443782850} is an apocalyptic number.

10642443782850 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 10642443782850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153914006320).

10642443782850 is an abundant number, since it is smaller than the sum of its proper divisors (23665384229790).

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

10642443782850 is a wasteful number, since it uses less digits than its factorization.

10642443782850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381069 (or 381041 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 10642443782850 in words is "ten trillion, six hundred forty-two billion, four hundred forty-three million, seven hundred eighty-two thousand, eight hundred fifty".