1006198956750 has 256 divisors, whose sum is σ = 2816575856640. Its totient is φ = 237545280000.

The previous prime is 1006198956743. The next prime is 1006198956871. The reversal of 1006198956750 is 576598916001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42683467 + ... + 42707033.

It is an arithmetic number, because the mean of its divisors is an integer number (11002249440).

Almost surely, 2^{1006198956750} is an apocalyptic number.

1006198956750 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 1006198956750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408287928320).

1006198956750 is an abundant number, since it is smaller than the sum of its proper divisors (1810376899890).

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

1006198956750 is a wasteful number, since it uses less digits than its factorization.

1006198956750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23780 (or 23770 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 1006198956750 in words is "one trillion, six billion, one hundred ninety-eight million, nine hundred fifty-six thousand, seven hundred fifty".