9956812320 has 288 divisors, whose sum is σ = 41819162112. Its totient is φ = 2100750336.

The previous prime is 9956812289. The next prime is 9956812339. The reversal of 9956812320 is 232186599.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9956812320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93049 + ... + 169031.

It is an arithmetic number, because the mean of its divisors is an integer number (145205424).

Almost surely, 2^9956812320 is an apocalyptic number.

9956812320 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 9956812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909581056).

9956812320 is an abundant number, since it is smaller than the sum of its proper divisors (31862349792).

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

9956812320 is a wasteful number, since it uses less digits than its factorization.

9956812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76024 (or 76013 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9956812320 is about 99783.8279482201. The cubic root of 9956812320 is about 2151.3287132011.

It can be divided in two parts, 995681 and 2320, that added together give a square (998001 = 999²).

The spelling of 9956812320 in words is "nine billion, nine hundred fifty-six million, eight hundred twelve thousand, three hundred twenty".