9956206512 has 360 divisors, whose sum is σ = 34930621440. Its totient is φ = 2631847680.

The previous prime is 9956206493. The next prime is 9956206583. The reversal of 9956206512 is 2156026599.

It is a happy number.

9956206512 is a `hidden beast` number, since 9 + 9 + 5 + 620 + 6 + 5 + 12 = 666.

It is a super-2 number, since 2×9956206512² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5029939 + ... + 5031917.

It is an arithmetic number, because the mean of its divisors is an integer number (97029504).

Almost surely, 2^9956206512 is an apocalyptic number.

9956206512 is a gapful number since it is divisible by the number (92) 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 9956206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465310720).

9956206512 is an abundant number, since it is smaller than the sum of its proper divisors (24974414928).

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

9956206512 is a wasteful number, since it uses less digits than its factorization.

9956206512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9956206512 is about 99780.7922999211. The cubic root of 9956206512 is about 2151.2850808103.

The spelling of 9956206512 in words is "nine billion, nine hundred fifty-six million, two hundred six thousand, five hundred twelve".