9952071360 has 896 divisors, whose sum is σ = 42023190528. Its totient is φ = 1935360000.

The previous prime is 9952071347. The next prime is 9952071361. The reversal of 9952071360 is 631702599.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9952071361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98535310 + ... + 98535410.

Almost surely, 2^9952071360 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 9952071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011595264).

9952071360 is an abundant number, since it is smaller than the sum of its proper divisors (32071119168).

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

9952071360 is a wasteful number, since it uses less digits than its factorization.

9952071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 9952071360 is about 99760.0689654934. The cubic root of 9952071360 is about 2150.9872055547.

The spelling of 9952071360 in words is "nine billion, nine hundred fifty-two million, seventy-one thousand, three hundred sixty".