9995573952 has 252 divisors, whose sum is σ = 35458328880. Its totient is φ = 2636015616.

The previous prime is 9995573911. The next prime is 9995573977. The reversal of 9995573952 is 2593755999.

9995573952 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 573 + 9 + 52 = 666.

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

It is a super-2 number, since 2×9995573952² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9995573952.

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, 674074 + ... + 688742.

Almost surely, 2^9995573952 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 9995573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729164440).

9995573952 is an abundant number, since it is smaller than the sum of its proper divisors (25462754928).

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

9995573952 is a wasteful number, since it uses less digits than its factorization.

9995573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14694 counting only the distinct ones).

The product of its digits is 34445250, while the sum is 63.

The square root of 9995573952 is about 99977.8673107203. The cubic root of 9995573952 is about 2154.1167887474.

The spelling of 9995573952 in words is "nine billion, nine hundred ninety-five million, five hundred seventy-three thousand, nine hundred fifty-two".