9953169408 has 832 divisors, whose sum is σ = 38750638080. Its totient is φ = 2452488192.

The previous prime is 9953169403. The next prime is 9953169463. The reversal of 9953169408 is 8049613599.

9953169408 is a `hidden beast` number, since 9 + 9 + 531 + 69 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953169403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231469035 + ... + 231469077.

Almost surely, 2^9953169408 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 9953169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375319040).

9953169408 is an abundant number, since it is smaller than the sum of its proper divisors (28797468672).

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

9953169408 is a wasteful number, since it uses less digits than its factorization.

9953169408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9953169408 is about 99765.5722581693. The cubic root of 9953169408 is about 2151.0663113762.

The spelling of 9953169408 in words is "nine billion, nine hundred fifty-three million, one hundred sixty-nine thousand, four hundred eight".