1009710198000 has 2240 divisors, whose sum is σ = 4546588999680. Its totient is φ = 211631616000.

The previous prime is 1009710197989. The next prime is 1009710198121. The reversal of 1009710198000 is 8910179001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7950473937 + ... + 7950474063.

It is an arithmetic number, because the mean of its divisors is an integer number (2029727232).

Almost surely, 2^{1009710198000} is an apocalyptic number.

1009710198000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009710198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273294499840).

1009710198000 is an abundant number, since it is smaller than the sum of its proper divisors (3536878801680).

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

1009710198000 is a wasteful number, since it uses less digits than its factorization.

1009710198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 1009710198000 in words is "one trillion, nine billion, seven hundred ten million, one hundred ninety-eight thousand".