9952421028480 has 2048 divisors, whose sum is σ = 43147468800000. Its totient is φ = 2119168770048.

The previous prime is 9952421028469. The next prime is 9952421028497. The reversal of 9952421028480 is 848201242599.

9952421028480 is a `hidden beast` number, since 9 + 9 + 52 + 4 + 2 + 102 + 8 + 480 = 666.

It is a super-2 number, since 2×9952421028480² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19944731271 + ... + 19944731769.

It is an arithmetic number, because the mean of its divisors is an integer number (21068100000).

Almost surely, 2^{9952421028480} is an apocalyptic number.

9952421028480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952421028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573734400000).

9952421028480 is an abundant number, since it is smaller than the sum of its proper divisors (33195047771520).

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

9952421028480 is a wasteful number, since it uses less digits than its factorization.

9952421028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 9952421028480 in words is "nine trillion, nine hundred fifty-two billion, four hundred twenty-one million, twenty-eight thousand, four hundred eighty".