1009750173120 has 1120 divisors, whose sum is σ = 4075588040832. Its totient is φ = 235438866432.

The previous prime is 1009750173101. The next prime is 1009750173137. The reversal of 1009750173120 is 213710579001.

1009750173120 is a `hidden beast` number, since 10 + 0 + 97 + 501 + 7 + 31 + 20 = 666.

1009750173120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 875758464 + ... + 875759616.

Almost surely, 2^{1009750173120} is an apocalyptic number.

1009750173120 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 1009750173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037794020416).

1009750173120 is an abundant number, since it is smaller than the sum of its proper divisors (3065837867712).

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

1009750173120 is a wasteful number, since it uses less digits than its factorization.

1009750173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 1009750173120 in words is "one trillion, nine billion, seven hundred fifty million, one hundred seventy-three thousand, one hundred twenty".