9850955575104 has 252 divisors, whose sum is σ = 32876999803908. Its totient is φ = 2811897446400.

The previous prime is 9850955575081. The next prime is 9850955575147. The reversal of 9850955575104 is 4015755590589.

9850955575104 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 9 + 55 + 575 + 1 + 0 + 4 = 666.

9850955575104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4545082886400 + 5305872688704 = 2131920^2 + 2303448^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×9850955575104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29781184 + ... + 30110144.

Almost surely, 2^{9850955575104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850955575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438499901954).

9850955575104 is an abundant number, since it is smaller than the sum of its proper divisors (23026044228804).

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

9850955575104 is a wasteful number, since it uses less digits than its factorization.

9850955575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330054 (or 330034 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 63.

The spelling of 9850955575104 in words is "nine trillion, eight hundred fifty billion, nine hundred fifty-five million, five hundred seventy-five thousand, one hundred four".