9948252160 has 576 divisors, whose sum is σ = 31789255680. Its totient is φ = 2919628800.

The previous prime is 9948252107. The next prime is 9948252179. The reversal of 9948252160 is 612528499.

It is a self number, because there is not a number n which added to its sum of digits gives 9948252160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268871662 + ... + 268871698.

It is an arithmetic number, because the mean of its divisors is an integer number (55189680).

Almost surely, 2^9948252160 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 9948252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894627840).

9948252160 is an abundant number, since it is smaller than the sum of its proper divisors (21841003520).

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

9948252160 is a wasteful number, since it uses less digits than its factorization.

9948252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 9948252160 is about 99740.9252012432. The cubic root of 9948252160 is about 2150.7120165638.

The spelling of 9948252160 in words is "nine billion, nine hundred forty-eight million, two hundred fifty-two thousand, one hundred sixty".